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Finding the Third Proportional to 1,725,556,290 and 3,773,964,000

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Solution

The third proportional to 1,725,556,290 and 3,773,964,000 is: 8,254,036,310.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,725,556,290 : 3,773,964,000 = 3,773,964,000 : x
  2. Step 2: Convert to fraction form
    1,725,556,290/3,773,964,000 = 3,773,964,000/x
  3. Step 3: Cross multiply
    1,725,556,290x = 3,773,964,000 × 3,773,964,000
  4. Step 4: Simplify right side
    1,725,556,290x = 14,242,804,273,295,998,976
  5. Step 5: Solve for x
    x = 14,242,804,273,295,998,976/1,725,556,290
  6. Step 6: Final answer
    x = 8,254,036,310.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.