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Finding the Third Proportional to 78,414.75 and 117,801

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Solution

The third proportional to 78,414.75 and 117,801 is: 176,970.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,414.75 : 117,801 = 117,801 : x
  2. Step 2: Convert to fraction form
    78,414.75/117,801 = 117,801/x
  3. Step 3: Cross multiply
    78,414.75x = 117,801 × 117,801
  4. Step 4: Simplify right side
    78,414.75x = 13,877,075,601
  5. Step 5: Solve for x
    x = 13,877,075,601/78,414.75
  6. Step 6: Final answer
    x = 176,970.22

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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.