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Finding the Third Proportional to 138,730 and 207,715

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Solution

The third proportional to 138,730 and 207,715 is: 311,003.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,730 : 207,715 = 207,715 : x
  2. Step 2: Convert to fraction form
    138,730/207,715 = 207,715/x
  3. Step 3: Cross multiply
    138,730x = 207,715 × 207,715
  4. Step 4: Simplify right side
    138,730x = 43,145,521,225
  5. Step 5: Solve for x
    x = 43,145,521,225/138,730
  6. Step 6: Final answer
    x = 311,003.54

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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.