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Finding the Third Proportional to 209,448,498,442.50 and 299,511,709,454

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Solution

The third proportional to 209,448,498,442.50 and 299,511,709,454 is: 428,302,254,573.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,448,498,442.50 : 299,511,709,454 = 299,511,709,454 : x
  2. Step 2: Convert to fraction form
    209,448,498,442.50/299,511,709,454 = 299,511,709,454/x
  3. Step 3: Cross multiply
    209,448,498,442.50x = 299,511,709,454 × 299,511,709,454
  4. Step 4: Simplify right side
    209,448,498,442.50x = 89,707,264,100,057,311,346,688
  5. Step 5: Solve for x
    x = 89,707,264,100,057,311,346,688/209,448,498,442.50
  6. Step 6: Final answer
    x = 428,302,254,573.98

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.