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Finding the Third Proportional to 138,464 and 207,465

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Solution

The third proportional to 138,464 and 207,465 is: 310,851.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,464 : 207,465 = 207,465 : x
  2. Step 2: Convert to fraction form
    138,464/207,465 = 207,465/x
  3. Step 3: Cross multiply
    138,464x = 207,465 × 207,465
  4. Step 4: Simplify right side
    138,464x = 43,041,726,225
  5. Step 5: Solve for x
    x = 43,041,726,225/138,464
  6. Step 6: Final answer
    x = 310,851.39

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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.