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Finding the Third Proportional to 66,531 and 100,487

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Solution

The third proportional to 66,531 and 100,487 is: 151,773.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,531 : 100,487 = 100,487 : x
  2. Step 2: Convert to fraction form
    66,531/100,487 = 100,487/x
  3. Step 3: Cross multiply
    66,531x = 100,487 × 100,487
  4. Step 4: Simplify right side
    66,531x = 10,097,637,169
  5. Step 5: Solve for x
    x = 10,097,637,169/66,531
  6. Step 6: Final answer
    x = 151,773.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.