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Finding the Third Proportional to 137,487.75 and 207,108.75

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Solution

The third proportional to 137,487.75 and 207,108.75 is: 311,984.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,487.75 : 207,108.75 = 207,108.75 : x
  2. Step 2: Convert to fraction form
    137,487.75/207,108.75 = 207,108.75/x
  3. Step 3: Cross multiply
    137,487.75x = 207,108.75 × 207,108.75
  4. Step 4: Simplify right side
    137,487.75x = 42,894,034,326.56
  5. Step 5: Solve for x
    x = 42,894,034,326.56/137,487.75
  6. Step 6: Final answer
    x = 311,984.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.