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Finding the Third Proportional to 52,044.75 and 77,854.50

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Solution

The third proportional to 52,044.75 and 77,854.50 is: 116,463.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,044.75 : 77,854.50 = 77,854.50 : x
  2. Step 2: Convert to fraction form
    52,044.75/77,854.50 = 77,854.50/x
  3. Step 3: Cross multiply
    52,044.75x = 77,854.50 × 77,854.50
  4. Step 4: Simplify right side
    52,044.75x = 6,061,323,170.25
  5. Step 5: Solve for x
    x = 6,061,323,170.25/52,044.75
  6. Step 6: Final answer
    x = 116,463.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.