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Finding the Third Proportional to 207.77 and 310.29

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Solution

The third proportional to 207.77 and 310.29 is: 463.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.77 : 310.29 = 310.29 : x
  2. Step 2: Convert to fraction form
    207.77/310.29 = 310.29/x
  3. Step 3: Cross multiply
    207.77x = 310.29 × 310.29
  4. Step 4: Simplify right side
    207.77x = 96,279.30
  5. Step 5: Solve for x
    x = 96,279.30/207.77
  6. Step 6: Final answer
    x = 463.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.