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Finding the Third Proportional to 37,542 and 80,430

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Solution

The third proportional to 37,542 and 80,430 is: 172,313.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,542 : 80,430 = 80,430 : x
  2. Step 2: Convert to fraction form
    37,542/80,430 = 80,430/x
  3. Step 3: Cross multiply
    37,542x = 80,430 × 80,430
  4. Step 4: Simplify right side
    37,542x = 6,468,984,900
  5. Step 5: Solve for x
    x = 6,468,984,900/37,542
  6. Step 6: Final answer
    x = 172,313.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.