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Finding the Third Proportional to 78,663 and 117,972

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Solution

The third proportional to 78,663 and 117,972 is: 176,924.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,663 : 117,972 = 117,972 : x
  2. Step 2: Convert to fraction form
    78,663/117,972 = 117,972/x
  3. Step 3: Cross multiply
    78,663x = 117,972 × 117,972
  4. Step 4: Simplify right side
    78,663x = 13,917,392,784
  5. Step 5: Solve for x
    x = 13,917,392,784/78,663
  6. Step 6: Final answer
    x = 176,924.26

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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.