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Finding the Third Proportional to 138,461 and 207,460

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Solution

The third proportional to 138,461 and 207,460 is: 310,843.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,461 : 207,460 = 207,460 : x
  2. Step 2: Convert to fraction form
    138,461/207,460 = 207,460/x
  3. Step 3: Cross multiply
    138,461x = 207,460 × 207,460
  4. Step 4: Simplify right side
    138,461x = 43,039,651,600
  5. Step 5: Solve for x
    x = 43,039,651,600/138,461
  6. Step 6: Final answer
    x = 310,843.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.