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Finding the Third Proportional to 138,728 and 207,712

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Solution

The third proportional to 138,728 and 207,712 is: 310,999.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,728 : 207,712 = 207,712 : x
  2. Step 2: Convert to fraction form
    138,728/207,712 = 207,712/x
  3. Step 3: Cross multiply
    138,728x = 207,712 × 207,712
  4. Step 4: Simplify right side
    138,728x = 43,144,274,944
  5. Step 5: Solve for x
    x = 43,144,274,944/138,728
  6. Step 6: Final answer
    x = 310,999.04

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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.