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Finding the Third Proportional to 415.76 and 723.30

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Solution

The third proportional to 415.76 and 723.30 is: 1,258.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.76 : 723.30 = 723.30 : x
  2. Step 2: Convert to fraction form
    415.76/723.30 = 723.30/x
  3. Step 3: Cross multiply
    415.76x = 723.30 × 723.30
  4. Step 4: Simplify right side
    415.76x = 523,169.67
  5. Step 5: Solve for x
    x = 523,169.67/415.76
  6. Step 6: Final answer
    x = 1,258.35

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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.