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Finding the Third Proportional to 78,836.63 and 122,400.56

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Solution

The third proportional to 78,836.63 and 122,400.56 is: 190,037.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,836.63 : 122,400.56 = 122,400.56 : x
  2. Step 2: Convert to fraction form
    78,836.63/122,400.56 = 122,400.56/x
  3. Step 3: Cross multiply
    78,836.63x = 122,400.56 × 122,400.56
  4. Step 4: Simplify right side
    78,836.63x = 14,981,897,700.32
  5. Step 5: Solve for x
    x = 14,981,897,700.32/78,836.63
  6. Step 6: Final answer
    x = 190,037.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.