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Finding the Third Proportional to 311,128 and 469,548

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Solution

The third proportional to 311,128 and 469,548 is: 708,632.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,128 : 469,548 = 469,548 : x
  2. Step 2: Convert to fraction form
    311,128/469,548 = 469,548/x
  3. Step 3: Cross multiply
    311,128x = 469,548 × 469,548
  4. Step 4: Simplify right side
    311,128x = 220,475,324,304
  5. Step 5: Solve for x
    x = 220,475,324,304/311,128
  6. Step 6: Final answer
    x = 708,632.22

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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.