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Finding the Third Proportional to 434,442 and 672,683

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Solution

The third proportional to 434,442 and 672,683 is: 1,041,571.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,442 : 672,683 = 672,683 : x
  2. Step 2: Convert to fraction form
    434,442/672,683 = 672,683/x
  3. Step 3: Cross multiply
    434,442x = 672,683 × 672,683
  4. Step 4: Simplify right side
    434,442x = 452,502,418,489
  5. Step 5: Solve for x
    x = 452,502,418,489/434,442
  6. Step 6: Final answer
    x = 1,041,571.53

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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.