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Finding the Third Proportional to 138,500 and 207,516

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Solution

The third proportional to 138,500 and 207,516 is: 310,923.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,500 : 207,516 = 207,516 : x
  2. Step 2: Convert to fraction form
    138,500/207,516 = 207,516/x
  3. Step 3: Cross multiply
    138,500x = 207,516 × 207,516
  4. Step 4: Simplify right side
    138,500x = 43,062,890,256
  5. Step 5: Solve for x
    x = 43,062,890,256/138,500
  6. Step 6: Final answer
    x = 310,923.40

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