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Finding the Third Proportional to 309,132 and 672,701

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Solution

The third proportional to 309,132 and 672,701 is: 1,463,862.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,132 : 672,701 = 672,701 : x
  2. Step 2: Convert to fraction form
    309,132/672,701 = 672,701/x
  3. Step 3: Cross multiply
    309,132x = 672,701 × 672,701
  4. Step 4: Simplify right side
    309,132x = 452,526,635,401
  5. Step 5: Solve for x
    x = 452,526,635,401/309,132
  6. Step 6: Final answer
    x = 1,463,862.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.