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Finding the Third Proportional to 470,267 and 672,217

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Solution

The third proportional to 470,267 and 672,217 is: 960,891.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,267 : 672,217 = 672,217 : x
  2. Step 2: Convert to fraction form
    470,267/672,217 = 672,217/x
  3. Step 3: Cross multiply
    470,267x = 672,217 × 672,217
  4. Step 4: Simplify right side
    470,267x = 451,875,695,089
  5. Step 5: Solve for x
    x = 451,875,695,089/470,267
  6. Step 6: Final answer
    x = 960,891.78

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.