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Finding the Third Proportional to 431,659.13 and 647,488.69

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Solution

The third proportional to 431,659.13 and 647,488.69 is: 971,233.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,659.13 : 647,488.69 = 647,488.69 : x
  2. Step 2: Convert to fraction form
    431,659.13/647,488.69 = 647,488.69/x
  3. Step 3: Cross multiply
    431,659.13x = 647,488.69 × 647,488.69
  4. Step 4: Simplify right side
    431,659.13x = 419,241,600,440.47
  5. Step 5: Solve for x
    x = 419,241,600,440.47/431,659.13
  6. Step 6: Final answer
    x = 971,233.03

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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.