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Finding the Third Proportional to 68,131,367,600 and 149,106,496,352

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Solution

The third proportional to 68,131,367,600 and 149,106,496,352 is: 326,321,752,190.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,131,367,600 : 149,106,496,352 = 149,106,496,352 : x
  2. Step 2: Convert to fraction form
    68,131,367,600/149,106,496,352 = 149,106,496,352/x
  3. Step 3: Cross multiply
    68,131,367,600x = 149,106,496,352 × 149,106,496,352
  4. Step 4: Simplify right side
    68,131,367,600x = 22,232,747,254,368,987,774,976
  5. Step 5: Solve for x
    x = 22,232,747,254,368,987,774,976/68,131,367,600
  6. Step 6: Final answer
    x = 326,321,752,190.53

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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.