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Finding the Third Proportional to 317,896 and 690,467

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Solution

The third proportional to 317,896 and 690,467 is: 1,499,687.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,896 : 690,467 = 690,467 : x
  2. Step 2: Convert to fraction form
    317,896/690,467 = 690,467/x
  3. Step 3: Cross multiply
    317,896x = 690,467 × 690,467
  4. Step 4: Simplify right side
    317,896x = 476,744,678,089
  5. Step 5: Solve for x
    x = 476,744,678,089/317,896
  6. Step 6: Final answer
    x = 1,499,687.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.