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Finding the Third Proportional to 435,042 and 672,291

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Solution

The third proportional to 435,042 and 672,291 is: 1,038,923.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,042 : 672,291 = 672,291 : x
  2. Step 2: Convert to fraction form
    435,042/672,291 = 672,291/x
  3. Step 3: Cross multiply
    435,042x = 672,291 × 672,291
  4. Step 4: Simplify right side
    435,042x = 451,975,188,681
  5. Step 5: Solve for x
    x = 451,975,188,681/435,042
  6. Step 6: Final answer
    x = 1,038,923.11

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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.