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Finding the Third Proportional to 310.13 and 672.28

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Solution

The third proportional to 310.13 and 672.28 is: 1,457.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.13 : 672.28 = 672.28 : x
  2. Step 2: Convert to fraction form
    310.13/672.28 = 672.28/x
  3. Step 3: Cross multiply
    310.13x = 672.28 × 672.28
  4. Step 4: Simplify right side
    310.13x = 451,962.08
  5. Step 5: Solve for x
    x = 451,962.08/310.13
  6. Step 6: Final answer
    x = 1,457.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.