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Finding the Third Proportional to 78,024.75 and 117,857

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Solution

The third proportional to 78,024.75 and 117,857 is: 178,023.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,024.75 : 117,857 = 117,857 : x
  2. Step 2: Convert to fraction form
    78,024.75/117,857 = 117,857/x
  3. Step 3: Cross multiply
    78,024.75x = 117,857 × 117,857
  4. Step 4: Simplify right side
    78,024.75x = 13,890,272,449
  5. Step 5: Solve for x
    x = 13,890,272,449/78,024.75
  6. Step 6: Final answer
    x = 178,023.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.