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Finding the Third Proportional to 151,815.52 and 218,701.90

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Solution

The third proportional to 151,815.52 and 218,701.90 is: 315,056.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,815.52 : 218,701.90 = 218,701.90 : x
  2. Step 2: Convert to fraction form
    151,815.52/218,701.90 = 218,701.90/x
  3. Step 3: Cross multiply
    151,815.52x = 218,701.90 × 218,701.90
  4. Step 4: Simplify right side
    151,815.52x = 47,830,520,380.17
  5. Step 5: Solve for x
    x = 47,830,520,380.17/151,815.52
  6. Step 6: Final answer
    x = 315,056.86

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.