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Finding the Third Proportional to 440,630 and 659,272

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Solution

The third proportional to 440,630 and 659,272 is: 986,404.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,630 : 659,272 = 659,272 : x
  2. Step 2: Convert to fraction form
    440,630/659,272 = 659,272/x
  3. Step 3: Cross multiply
    440,630x = 659,272 × 659,272
  4. Step 4: Simplify right side
    440,630x = 434,639,569,984
  5. Step 5: Solve for x
    x = 434,639,569,984/440,630
  6. Step 6: Final answer
    x = 986,404.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.