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Finding the Third Proportional to 133,981.50 and 207,531

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Solution

The third proportional to 133,981.50 and 207,531 is: 321,455.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,981.50 : 207,531 = 207,531 : x
  2. Step 2: Convert to fraction form
    133,981.50/207,531 = 207,531/x
  3. Step 3: Cross multiply
    133,981.50x = 207,531 × 207,531
  4. Step 4: Simplify right side
    133,981.50x = 43,069,115,961
  5. Step 5: Solve for x
    x = 43,069,115,961/133,981.50
  6. Step 6: Final answer
    x = 321,455.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.