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Finding the Third Proportional to 912.56 and 1,444.69

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Solution

The third proportional to 912.56 and 1,444.69 is: 2,287.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.56 : 1,444.69 = 1,444.69 : x
  2. Step 2: Convert to fraction form
    912.56/1,444.69 = 1,444.69/x
  3. Step 3: Cross multiply
    912.56x = 1,444.69 × 1,444.69
  4. Step 4: Simplify right side
    912.56x = 2,087,121.97
  5. Step 5: Solve for x
    x = 2,087,121.97/912.56
  6. Step 6: Final answer
    x = 2,287.10

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.