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Finding the Third Proportional to 314.30 and 457.95

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Solution

The third proportional to 314.30 and 457.95 is: 667.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.30 : 457.95 = 457.95 : x
  2. Step 2: Convert to fraction form
    314.30/457.95 = 457.95/x
  3. Step 3: Cross multiply
    314.30x = 457.95 × 457.95
  4. Step 4: Simplify right side
    314.30x = 209,713.91
  5. Step 5: Solve for x
    x = 209,713.91/314.30
  6. Step 6: Final answer
    x = 667.25

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.