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Finding the Third Proportional to 435,357 and 672,709

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Solution

The third proportional to 435,357 and 672,709 is: 1,039,462.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,357 : 672,709 = 672,709 : x
  2. Step 2: Convert to fraction form
    435,357/672,709 = 672,709/x
  3. Step 3: Cross multiply
    435,357x = 672,709 × 672,709
  4. Step 4: Simplify right side
    435,357x = 452,537,398,681
  5. Step 5: Solve for x
    x = 452,537,398,681/435,357
  6. Step 6: Final answer
    x = 1,039,462.78

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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.