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Finding the Third Proportional to 218,701.90 and 328,052.85

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Solution

The third proportional to 218,701.90 and 328,052.85 is: 492,079.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,701.90 : 328,052.85 = 328,052.85 : x
  2. Step 2: Convert to fraction form
    218,701.90/328,052.85 = 328,052.85/x
  3. Step 3: Cross multiply
    218,701.90x = 328,052.85 × 328,052.85
  4. Step 4: Simplify right side
    218,701.90x = 107,618,670,855.38
  5. Step 5: Solve for x
    x = 107,618,670,855.38/218,701.90
  6. Step 6: Final answer
    x = 492,079.27

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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.