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Finding the Third Proportional to 317,957 and 672,723

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Solution

The third proportional to 317,957 and 672,723 is: 1,423,325.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,957 : 672,723 = 672,723 : x
  2. Step 2: Convert to fraction form
    317,957/672,723 = 672,723/x
  3. Step 3: Cross multiply
    317,957x = 672,723 × 672,723
  4. Step 4: Simplify right side
    317,957x = 452,556,234,729
  5. Step 5: Solve for x
    x = 452,556,234,729/317,957
  6. Step 6: Final answer
    x = 1,423,325.28

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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.