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Finding the Third Proportional to 490,470 and 659,115

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Solution

The third proportional to 490,470 and 659,115 is: 885,747.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,470 : 659,115 = 659,115 : x
  2. Step 2: Convert to fraction form
    490,470/659,115 = 659,115/x
  3. Step 3: Cross multiply
    490,470x = 659,115 × 659,115
  4. Step 4: Simplify right side
    490,470x = 434,432,583,225
  5. Step 5: Solve for x
    x = 434,432,583,225/490,470
  6. Step 6: Final answer
    x = 885,747.51

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.