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Finding the Third Proportional to 385,732.13 and 428,788.69

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Solution

The third proportional to 385,732.13 and 428,788.69 is: 476,651.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,732.13 : 428,788.69 = 428,788.69 : x
  2. Step 2: Convert to fraction form
    385,732.13/428,788.69 = 428,788.69/x
  3. Step 3: Cross multiply
    385,732.13x = 428,788.69 × 428,788.69
  4. Step 4: Simplify right side
    385,732.13x = 183,859,738,527.97
  5. Step 5: Solve for x
    x = 183,859,738,527.97/385,732.13
  6. Step 6: Final answer
    x = 476,651.35

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.