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Finding the Third Proportional to 77,721 and 118,101.75

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Solution

The third proportional to 77,721 and 118,101.75 is: 179,462.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,721 : 118,101.75 = 118,101.75 : x
  2. Step 2: Convert to fraction form
    77,721/118,101.75 = 118,101.75/x
  3. Step 3: Cross multiply
    77,721x = 118,101.75 × 118,101.75
  4. Step 4: Simplify right side
    77,721x = 13,948,023,353.06
  5. Step 5: Solve for x
    x = 13,948,023,353.06/77,721
  6. Step 6: Final answer
    x = 179,462.74

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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.