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Finding the Third Proportional to 491,516.86 and 664,068.38

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Solution

The third proportional to 491,516.86 and 664,068.38 is: 897,195.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,516.86 : 664,068.38 = 664,068.38 : x
  2. Step 2: Convert to fraction form
    491,516.86/664,068.38 = 664,068.38/x
  3. Step 3: Cross multiply
    491,516.86x = 664,068.38 × 664,068.38
  4. Step 4: Simplify right side
    491,516.86x = 440,986,806,675.14
  5. Step 5: Solve for x
    x = 440,986,806,675.14/491,516.86
  6. Step 6: Final answer
    x = 897,195.69

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.