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Finding the Third Proportional to 616.28 and 954.68

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Solution

The third proportional to 616.28 and 954.68 is: 1,478.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.28 : 954.68 = 954.68 : x
  2. Step 2: Convert to fraction form
    616.28/954.68 = 954.68/x
  3. Step 3: Cross multiply
    616.28x = 954.68 × 954.68
  4. Step 4: Simplify right side
    616.28x = 911,407.71
  5. Step 5: Solve for x
    x = 911,407.71/616.28
  6. Step 6: Final answer
    x = 1,478.89

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.