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Finding the Third Proportional to 1,202.77 and 2,641.78

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Solution

The third proportional to 1,202.77 and 2,641.78 is: 5,802.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.77 : 2,641.78 = 2,641.78 : x
  2. Step 2: Convert to fraction form
    1,202.77/2,641.78 = 2,641.78/x
  3. Step 3: Cross multiply
    1,202.77x = 2,641.78 × 2,641.78
  4. Step 4: Simplify right side
    1,202.77x = 6,979,008.17
  5. Step 5: Solve for x
    x = 6,979,008.17/1,202.77
  6. Step 6: Final answer
    x = 5,802.47

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.