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Finding the Third Proportional to 617.78 and 1,365.29

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Solution

The third proportional to 617.78 and 1,365.29 is: 3,017.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.78 : 1,365.29 = 1,365.29 : x
  2. Step 2: Convert to fraction form
    617.78/1,365.29 = 1,365.29/x
  3. Step 3: Cross multiply
    617.78x = 1,365.29 × 1,365.29
  4. Step 4: Simplify right side
    617.78x = 1,864,024.89
  5. Step 5: Solve for x
    x = 1,864,024.89/617.78
  6. Step 6: Final answer
    x = 3,017.28

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.