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Finding the Third Proportional to 316,636 and 672,132

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Solution

The third proportional to 316,636 and 672,132 is: 1,426,753.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,636 : 672,132 = 672,132 : x
  2. Step 2: Convert to fraction form
    316,636/672,132 = 672,132/x
  3. Step 3: Cross multiply
    316,636x = 672,132 × 672,132
  4. Step 4: Simplify right side
    316,636x = 451,761,425,424
  5. Step 5: Solve for x
    x = 451,761,425,424/316,636
  6. Step 6: Final answer
    x = 1,426,753.20

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.