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Finding the Third Proportional to 314,082 and 690,372

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Solution

The third proportional to 314,082 and 690,372 is: 1,517,481.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,082 : 690,372 = 690,372 : x
  2. Step 2: Convert to fraction form
    314,082/690,372 = 690,372/x
  3. Step 3: Cross multiply
    314,082x = 690,372 × 690,372
  4. Step 4: Simplify right side
    314,082x = 476,613,498,384
  5. Step 5: Solve for x
    x = 476,613,498,384/314,082
  6. Step 6: Final answer
    x = 1,517,481.10

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.