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Finding the Third Proportional to 311,120 and 482,648

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Solution

The third proportional to 311,120 and 482,648 is: 748,743.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,120 : 482,648 = 482,648 : x
  2. Step 2: Convert to fraction form
    311,120/482,648 = 482,648/x
  3. Step 3: Cross multiply
    311,120x = 482,648 × 482,648
  4. Step 4: Simplify right side
    311,120x = 232,949,091,904
  5. Step 5: Solve for x
    x = 232,949,091,904/311,120
  6. Step 6: Final answer
    x = 748,743.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.