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Finding the Third Proportional to 435,354.75 and 672,706.13

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Solution

The third proportional to 435,354.75 and 672,706.13 is: 1,039,459.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,354.75 : 672,706.13 = 672,706.13 : x
  2. Step 2: Convert to fraction form
    435,354.75/672,706.13 = 672,706.13/x
  3. Step 3: Cross multiply
    435,354.75x = 672,706.13 × 672,706.13
  4. Step 4: Simplify right side
    435,354.75x = 452,533,530,612.52
  5. Step 5: Solve for x
    x = 452,533,530,612.52/435,354.75
  6. Step 6: Final answer
    x = 1,039,459.27

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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.