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Finding the Third Proportional to 297,082 and 641,508

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Solution

The third proportional to 297,082 and 641,508 is: 1,385,248.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,082 : 641,508 = 641,508 : x
  2. Step 2: Convert to fraction form
    297,082/641,508 = 641,508/x
  3. Step 3: Cross multiply
    297,082x = 641,508 × 641,508
  4. Step 4: Simplify right side
    297,082x = 411,532,514,064
  5. Step 5: Solve for x
    x = 411,532,514,064/297,082
  6. Step 6: Final answer
    x = 1,385,248.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.