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Finding the Third Proportional to 318,421 and 432,674

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Solution

The third proportional to 318,421 and 432,674 is: 587,922.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,421 : 432,674 = 432,674 : x
  2. Step 2: Convert to fraction form
    318,421/432,674 = 432,674/x
  3. Step 3: Cross multiply
    318,421x = 432,674 × 432,674
  4. Step 4: Simplify right side
    318,421x = 187,206,790,276
  5. Step 5: Solve for x
    x = 187,206,790,276/318,421
  6. Step 6: Final answer
    x = 587,922.25

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.