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Finding the Third Proportional to 589.46 and 867.11

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Solution

The third proportional to 589.46 and 867.11 is: 1,275.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.46 : 867.11 = 867.11 : x
  2. Step 2: Convert to fraction form
    589.46/867.11 = 867.11/x
  3. Step 3: Cross multiply
    589.46x = 867.11 × 867.11
  4. Step 4: Simplify right side
    589.46x = 751,882.06
  5. Step 5: Solve for x
    x = 751,882.06/589.46
  6. Step 6: Final answer
    x = 1,275.53

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.