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Finding the Third Proportional to 486.38 and 1,124.81

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Solution

The third proportional to 486.38 and 1,124.81 is: 2,601.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.38 : 1,124.81 = 1,124.81 : x
  2. Step 2: Convert to fraction form
    486.38/1,124.81 = 1,124.81/x
  3. Step 3: Cross multiply
    486.38x = 1,124.81 × 1,124.81
  4. Step 4: Simplify right side
    486.38x = 1,265,203.16
  5. Step 5: Solve for x
    x = 1,265,203.16/486.38
  6. Step 6: Final answer
    x = 2,601.29

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.