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Finding the Third Proportional to 670.13 and 954.56

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Solution

The third proportional to 670.13 and 954.56 is: 1,359.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.13 : 954.56 = 954.56 : x
  2. Step 2: Convert to fraction form
    670.13/954.56 = 954.56/x
  3. Step 3: Cross multiply
    670.13x = 954.56 × 954.56
  4. Step 4: Simplify right side
    670.13x = 911,189.57
  5. Step 5: Solve for x
    x = 911,189.57/670.13
  6. Step 6: Final answer
    x = 1,359.73

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.