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Finding the Third Proportional to 65,125.13 and 142,731

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Solution

The third proportional to 65,125.13 and 142,731 is: 312,815.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,125.13 : 142,731 = 142,731 : x
  2. Step 2: Convert to fraction form
    65,125.13/142,731 = 142,731/x
  3. Step 3: Cross multiply
    65,125.13x = 142,731 × 142,731
  4. Step 4: Simplify right side
    65,125.13x = 20,372,138,361
  5. Step 5: Solve for x
    x = 20,372,138,361/65,125.13
  6. Step 6: Final answer
    x = 312,815.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.