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Finding the Third Proportional to 578.78 and 1,248.03

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Solution

The third proportional to 578.78 and 1,248.03 is: 2,691.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.78 : 1,248.03 = 1,248.03 : x
  2. Step 2: Convert to fraction form
    578.78/1,248.03 = 1,248.03/x
  3. Step 3: Cross multiply
    578.78x = 1,248.03 × 1,248.03
  4. Step 4: Simplify right side
    578.78x = 1,557,582.00
  5. Step 5: Solve for x
    x = 1,557,582.00/578.78
  6. Step 6: Final answer
    x = 2,691.14

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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.