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Finding the Third Proportional to 51,432 and 77,793

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Solution

The third proportional to 51,432 and 77,793 is: 117,665.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,432 : 77,793 = 77,793 : x
  2. Step 2: Convert to fraction form
    51,432/77,793 = 77,793/x
  3. Step 3: Cross multiply
    51,432x = 77,793 × 77,793
  4. Step 4: Simplify right side
    51,432x = 6,051,750,849
  5. Step 5: Solve for x
    x = 6,051,750,849/51,432
  6. Step 6: Final answer
    x = 117,665.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.