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Finding the Third Proportional to 78,844 and 117,957

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Solution

The third proportional to 78,844 and 117,957 is: 176,473.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,844 : 117,957 = 117,957 : x
  2. Step 2: Convert to fraction form
    78,844/117,957 = 117,957/x
  3. Step 3: Cross multiply
    78,844x = 117,957 × 117,957
  4. Step 4: Simplify right side
    78,844x = 13,913,853,849
  5. Step 5: Solve for x
    x = 13,913,853,849/78,844
  6. Step 6: Final answer
    x = 176,473.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.