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Finding the Third Proportional to 78,015 and 117,721.13

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Solution

The third proportional to 78,015 and 117,721.13 is: 177,635.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,015 : 117,721.13 = 117,721.13 : x
  2. Step 2: Convert to fraction form
    78,015/117,721.13 = 117,721.13/x
  3. Step 3: Cross multiply
    78,015x = 117,721.13 × 117,721.13
  4. Step 4: Simplify right side
    78,015x = 13,858,263,271.27
  5. Step 5: Solve for x
    x = 13,858,263,271.27/78,015
  6. Step 6: Final answer
    x = 177,635.88

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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.