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Finding the Third Proportional to 308.95 and 679.77

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Solution

The third proportional to 308.95 and 679.77 is: 1,495.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.95 : 679.77 = 679.77 : x
  2. Step 2: Convert to fraction form
    308.95/679.77 = 679.77/x
  3. Step 3: Cross multiply
    308.95x = 679.77 × 679.77
  4. Step 4: Simplify right side
    308.95x = 462,082.76
  5. Step 5: Solve for x
    x = 462,082.76/308.95
  6. Step 6: Final answer
    x = 1,495.66

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.