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Finding the Third Proportional to 387.13 and 912.75

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Solution

The third proportional to 387.13 and 912.75 is: 2,152.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.13 : 912.75 = 912.75 : x
  2. Step 2: Convert to fraction form
    387.13/912.75 = 912.75/x
  3. Step 3: Cross multiply
    387.13x = 912.75 × 912.75
  4. Step 4: Simplify right side
    387.13x = 833,112.56
  5. Step 5: Solve for x
    x = 833,112.56/387.13
  6. Step 6: Final answer
    x = 2,152.05

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.