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Finding the Third Proportional to 423.88 and 931.61

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Solution

The third proportional to 423.88 and 931.61 is: 2,047.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.88 : 931.61 = 931.61 : x
  2. Step 2: Convert to fraction form
    423.88/931.61 = 931.61/x
  3. Step 3: Cross multiply
    423.88x = 931.61 × 931.61
  4. Step 4: Simplify right side
    423.88x = 867,888.75
  5. Step 5: Solve for x
    x = 867,888.75/423.88
  6. Step 6: Final answer
    x = 2,047.49

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.