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Finding the Third Proportional to 138,918 and 207,459

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Solution

The third proportional to 138,918 and 207,459 is: 309,817.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,918 : 207,459 = 207,459 : x
  2. Step 2: Convert to fraction form
    138,918/207,459 = 207,459/x
  3. Step 3: Cross multiply
    138,918x = 207,459 × 207,459
  4. Step 4: Simplify right side
    138,918x = 43,039,236,681
  5. Step 5: Solve for x
    x = 43,039,236,681/138,918
  6. Step 6: Final answer
    x = 309,817.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.