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Finding the Third Proportional to 78,363.50 and 117,721

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Solution

The third proportional to 78,363.50 and 117,721 is: 176,845.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,363.50 : 117,721 = 117,721 : x
  2. Step 2: Convert to fraction form
    78,363.50/117,721 = 117,721/x
  3. Step 3: Cross multiply
    78,363.50x = 117,721 × 117,721
  4. Step 4: Simplify right side
    78,363.50x = 13,858,233,841
  5. Step 5: Solve for x
    x = 13,858,233,841/78,363.50
  6. Step 6: Final answer
    x = 176,845.52

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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.