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Finding the Third Proportional to 310.25 and 456.88

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Solution

The third proportional to 310.25 and 456.88 is: 672.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.25 : 456.88 = 456.88 : x
  2. Step 2: Convert to fraction form
    310.25/456.88 = 456.88/x
  3. Step 3: Cross multiply
    310.25x = 456.88 × 456.88
  4. Step 4: Simplify right side
    310.25x = 208,734.77
  5. Step 5: Solve for x
    x = 208,734.77/310.25
  6. Step 6: Final answer
    x = 672.80

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.