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Finding the Third Proportional to 56,394 and 80,559

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Solution

The third proportional to 56,394 and 80,559 is: 115,078.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,394 : 80,559 = 80,559 : x
  2. Step 2: Convert to fraction form
    56,394/80,559 = 80,559/x
  3. Step 3: Cross multiply
    56,394x = 80,559 × 80,559
  4. Step 4: Simplify right side
    56,394x = 6,489,752,481
  5. Step 5: Solve for x
    x = 6,489,752,481/56,394
  6. Step 6: Final answer
    x = 115,078.78

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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.