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Finding the Third Proportional to 332,489 and 688,630

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Solution

The third proportional to 332,489 and 688,630 is: 1,426,246.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,489 : 688,630 = 688,630 : x
  2. Step 2: Convert to fraction form
    332,489/688,630 = 688,630/x
  3. Step 3: Cross multiply
    332,489x = 688,630 × 688,630
  4. Step 4: Simplify right side
    332,489x = 474,211,276,900
  5. Step 5: Solve for x
    x = 474,211,276,900/332,489
  6. Step 6: Final answer
    x = 1,426,246.51

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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.