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Finding the Third Proportional to 145,801.27 and 218,701.90

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Solution

The third proportional to 145,801.27 and 218,701.90 is: 328,052.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,801.27 : 218,701.90 = 218,701.90 : x
  2. Step 2: Convert to fraction form
    145,801.27/218,701.90 = 218,701.90/x
  3. Step 3: Cross multiply
    145,801.27x = 218,701.90 × 218,701.90
  4. Step 4: Simplify right side
    145,801.27x = 47,830,520,380.17
  5. Step 5: Solve for x
    x = 47,830,520,380.17/145,801.27
  6. Step 6: Final answer
    x = 328,052.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.