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Finding the Third Proportional to 84,475.50 and 118,101.94

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Solution

The third proportional to 84,475.50 and 118,101.94 is: 165,113.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,475.50 : 118,101.94 = 118,101.94 : x
  2. Step 2: Convert to fraction form
    84,475.50/118,101.94 = 118,101.94/x
  3. Step 3: Cross multiply
    84,475.50x = 118,101.94 × 118,101.94
  4. Step 4: Simplify right side
    84,475.50x = 13,948,067,641.25
  5. Step 5: Solve for x
    x = 13,948,067,641.25/84,475.50
  6. Step 6: Final answer
    x = 165,113.76

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.