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Finding the Third Proportional to 1,237.78 and 2,605.92

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Solution

The third proportional to 1,237.78 and 2,605.92 is: 5,486.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237.78 : 2,605.92 = 2,605.92 : x
  2. Step 2: Convert to fraction form
    1,237.78/2,605.92 = 2,605.92/x
  3. Step 3: Cross multiply
    1,237.78x = 2,605.92 × 2,605.92
  4. Step 4: Simplify right side
    1,237.78x = 6,790,828.82
  5. Step 5: Solve for x
    x = 6,790,828.82/1,237.78
  6. Step 6: Final answer
    x = 5,486.29

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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.