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Finding the Third Proportional to 77,972.63 and 117,733.50

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Solution

The third proportional to 77,972.63 and 117,733.50 is: 177,769.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,972.63 : 117,733.50 = 117,733.50 : x
  2. Step 2: Convert to fraction form
    77,972.63/117,733.50 = 117,733.50/x
  3. Step 3: Cross multiply
    77,972.63x = 117,733.50 × 117,733.50
  4. Step 4: Simplify right side
    77,972.63x = 13,861,177,022.25
  5. Step 5: Solve for x
    x = 13,861,177,022.25/77,972.63
  6. Step 6: Final answer
    x = 177,769.79

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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.