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Finding the Third Proportional to 658.97 and 947.95

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Solution

The third proportional to 658.97 and 947.95 is: 1,363.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.97 : 947.95 = 947.95 : x
  2. Step 2: Convert to fraction form
    658.97/947.95 = 947.95/x
  3. Step 3: Cross multiply
    658.97x = 947.95 × 947.95
  4. Step 4: Simplify right side
    658.97x = 898,615.13
  5. Step 5: Solve for x
    x = 898,615.13/658.97
  6. Step 6: Final answer
    x = 1,363.67

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.