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Finding the Third Proportional to 50,742.70 and 77,310.91

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Solution

The third proportional to 50,742.70 and 77,310.91 is: 117,789.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,742.70 : 77,310.91 = 77,310.91 : x
  2. Step 2: Convert to fraction form
    50,742.70/77,310.91 = 77,310.91/x
  3. Step 3: Cross multiply
    50,742.70x = 77,310.91 × 77,310.91
  4. Step 4: Simplify right side
    50,742.70x = 5,976,977,433.18
  5. Step 5: Solve for x
    x = 5,976,977,433.18/50,742.70
  6. Step 6: Final answer
    x = 117,789.89

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.