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Finding the Third Proportional to 136,374 and 297,531

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Solution

The third proportional to 136,374 and 297,531 is: 649,131.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,374 : 297,531 = 297,531 : x
  2. Step 2: Convert to fraction form
    136,374/297,531 = 297,531/x
  3. Step 3: Cross multiply
    136,374x = 297,531 × 297,531
  4. Step 4: Simplify right side
    136,374x = 88,524,695,961
  5. Step 5: Solve for x
    x = 88,524,695,961/136,374
  6. Step 6: Final answer
    x = 649,131.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.