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Finding the Third Proportional to 63,394 and 90,555

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Solution

The third proportional to 63,394 and 90,555 is: 129,353.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,394 : 90,555 = 90,555 : x
  2. Step 2: Convert to fraction form
    63,394/90,555 = 90,555/x
  3. Step 3: Cross multiply
    63,394x = 90,555 × 90,555
  4. Step 4: Simplify right side
    63,394x = 8,200,208,025
  5. Step 5: Solve for x
    x = 8,200,208,025/63,394
  6. Step 6: Final answer
    x = 129,353.06

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.