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Finding the Third Proportional to 416.81 and 724.15

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Solution

The third proportional to 416.81 and 724.15 is: 1,258.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.81 : 724.15 = 724.15 : x
  2. Step 2: Convert to fraction form
    416.81/724.15 = 724.15/x
  3. Step 3: Cross multiply
    416.81x = 724.15 × 724.15
  4. Step 4: Simplify right side
    416.81x = 524,390.96
  5. Step 5: Solve for x
    x = 524,390.96/416.81
  6. Step 6: Final answer
    x = 1,258.10

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Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.