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Finding the Third Proportional to 316,082 and 688,972

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Solution

The third proportional to 316,082 and 688,972 is: 1,501,769.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,082 : 688,972 = 688,972 : x
  2. Step 2: Convert to fraction form
    316,082/688,972 = 688,972/x
  3. Step 3: Cross multiply
    316,082x = 688,972 × 688,972
  4. Step 4: Simplify right side
    316,082x = 474,682,416,784
  5. Step 5: Solve for x
    x = 474,682,416,784/316,082
  6. Step 6: Final answer
    x = 1,501,769.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.