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Finding the Third Proportional to 332,469 and 688,586

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Solution

The third proportional to 332,469 and 688,586 is: 1,426,150.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,469 : 688,586 = 688,586 : x
  2. Step 2: Convert to fraction form
    332,469/688,586 = 688,586/x
  3. Step 3: Cross multiply
    332,469x = 688,586 × 688,586
  4. Step 4: Simplify right side
    332,469x = 474,150,679,396
  5. Step 5: Solve for x
    x = 474,150,679,396/332,469
  6. Step 6: Final answer
    x = 1,426,150.05

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.