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Finding the Third Proportional to 435,432 and 672,831

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Solution

The third proportional to 435,432 and 672,831 is: 1,039,660.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,432 : 672,831 = 672,831 : x
  2. Step 2: Convert to fraction form
    435,432/672,831 = 672,831/x
  3. Step 3: Cross multiply
    435,432x = 672,831 × 672,831
  4. Step 4: Simplify right side
    435,432x = 452,701,554,561
  5. Step 5: Solve for x
    x = 452,701,554,561/435,432
  6. Step 6: Final answer
    x = 1,039,660.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.