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Finding the Third Proportional to 311,200.31 and 480,616.88

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Solution

The third proportional to 311,200.31 and 480,616.88 is: 742,263.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,200.31 : 480,616.88 = 480,616.88 : x
  2. Step 2: Convert to fraction form
    311,200.31/480,616.88 = 480,616.88/x
  3. Step 3: Cross multiply
    311,200.31x = 480,616.88 × 480,616.88
  4. Step 4: Simplify right side
    311,200.31x = 230,992,580,534.77
  5. Step 5: Solve for x
    x = 230,992,580,534.77/311,200.31
  6. Step 6: Final answer
    x = 742,263.33

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.