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Finding the Third Proportional to 1,140.49 and 2,458.95

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Solution

The third proportional to 1,140.49 and 2,458.95 is: 5,301.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.49 : 2,458.95 = 2,458.95 : x
  2. Step 2: Convert to fraction form
    1,140.49/2,458.95 = 2,458.95/x
  3. Step 3: Cross multiply
    1,140.49x = 2,458.95 × 2,458.95
  4. Step 4: Simplify right side
    1,140.49x = 6,046,440.87
  5. Step 5: Solve for x
    x = 6,046,440.87/1,140.49
  6. Step 6: Final answer
    x = 5,301.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.