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Finding the Third Proportional to 1,156.78 and 2,442.66

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Solution

The third proportional to 1,156.78 and 2,442.66 is: 5,157.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.78 : 2,442.66 = 2,442.66 : x
  2. Step 2: Convert to fraction form
    1,156.78/2,442.66 = 2,442.66/x
  3. Step 3: Cross multiply
    1,156.78x = 2,442.66 × 2,442.66
  4. Step 4: Simplify right side
    1,156.78x = 5,966,569.56
  5. Step 5: Solve for x
    x = 5,966,569.56/1,156.78
  6. Step 6: Final answer
    x = 5,157.91

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.