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Finding the Third Proportional to 320,502 and 464,217

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Solution

The third proportional to 320,502 and 464,217 is: 672,374.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,502 : 464,217 = 464,217 : x
  2. Step 2: Convert to fraction form
    320,502/464,217 = 464,217/x
  3. Step 3: Cross multiply
    320,502x = 464,217 × 464,217
  4. Step 4: Simplify right side
    320,502x = 215,497,423,089
  5. Step 5: Solve for x
    x = 215,497,423,089/320,502
  6. Step 6: Final answer
    x = 672,374.66

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.