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Finding the Third Proportional to 311,132 and 469,554

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Solution

The third proportional to 311,132 and 469,554 is: 708,641.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,132 : 469,554 = 469,554 : x
  2. Step 2: Convert to fraction form
    311,132/469,554 = 469,554/x
  3. Step 3: Cross multiply
    311,132x = 469,554 × 469,554
  4. Step 4: Simplify right side
    311,132x = 220,480,958,916
  5. Step 5: Solve for x
    x = 220,480,958,916/311,132
  6. Step 6: Final answer
    x = 708,641.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.