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Finding the Third Proportional to 52,425 and 83,387.25

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Solution

The third proportional to 52,425 and 83,387.25 is: 132,635.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,425 : 83,387.25 = 83,387.25 : x
  2. Step 2: Convert to fraction form
    52,425/83,387.25 = 83,387.25/x
  3. Step 3: Cross multiply
    52,425x = 83,387.25 × 83,387.25
  4. Step 4: Simplify right side
    52,425x = 6,953,433,462.56
  5. Step 5: Solve for x
    x = 6,953,433,462.56/52,425
  6. Step 6: Final answer
    x = 132,635.83

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.