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Finding the Third Proportional to 431,529.38 and 647,293.69

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Solution

The third proportional to 431,529.38 and 647,293.69 is: 970,939.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,529.38 : 647,293.69 = 647,293.69 : x
  2. Step 2: Convert to fraction form
    431,529.38/647,293.69 = 647,293.69/x
  3. Step 3: Cross multiply
    431,529.38x = 647,293.69 × 647,293.69
  4. Step 4: Simplify right side
    431,529.38x = 418,989,117,877.35
  5. Step 5: Solve for x
    x = 418,989,117,877.35/431,529.38
  6. Step 6: Final answer
    x = 970,939.97

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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.