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Finding the Third Proportional to 646.78 and 892.78

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Solution

The third proportional to 646.78 and 892.78 is: 1,232.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.78 : 892.78 = 892.78 : x
  2. Step 2: Convert to fraction form
    646.78/892.78 = 892.78/x
  3. Step 3: Cross multiply
    646.78x = 892.78 × 892.78
  4. Step 4: Simplify right side
    646.78x = 797,058.36
  5. Step 5: Solve for x
    x = 797,058.36/646.78
  6. Step 6: Final answer
    x = 1,232.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.