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Finding the Third Proportional to 431,686.13 and 647,530.88

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Solution

The third proportional to 431,686.13 and 647,530.88 is: 971,298.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,686.13 : 647,530.88 = 647,530.88 : x
  2. Step 2: Convert to fraction form
    431,686.13/647,530.88 = 647,530.88/x
  3. Step 3: Cross multiply
    431,686.13x = 647,530.88 × 647,530.88
  4. Step 4: Simplify right side
    431,686.13x = 419,296,234,078.27
  5. Step 5: Solve for x
    x = 419,296,234,078.27/431,686.13
  6. Step 6: Final answer
    x = 971,298.84

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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.