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Finding the Third Proportional to 435,358.13 and 672,445.13

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Solution

The third proportional to 435,358.13 and 672,445.13 is: 1,038,644.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,358.13 : 672,445.13 = 672,445.13 : x
  2. Step 2: Convert to fraction form
    435,358.13/672,445.13 = 672,445.13/x
  3. Step 3: Cross multiply
    435,358.13x = 672,445.13 × 672,445.13
  4. Step 4: Simplify right side
    435,358.13x = 452,182,446,136.27
  5. Step 5: Solve for x
    x = 452,182,446,136.27/435,358.13
  6. Step 6: Final answer
    x = 1,038,644.78

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.