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Finding the Third Proportional to 83,039.63 and 121,791.38

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Solution

The third proportional to 83,039.63 and 121,791.38 is: 178,627.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,039.63 : 121,791.38 = 121,791.38 : x
  2. Step 2: Convert to fraction form
    83,039.63/121,791.38 = 121,791.38/x
  3. Step 3: Cross multiply
    83,039.63x = 121,791.38 × 121,791.38
  4. Step 4: Simplify right side
    83,039.63x = 14,833,139,024.39
  5. Step 5: Solve for x
    x = 14,833,139,024.39/83,039.63
  6. Step 6: Final answer
    x = 178,627.24

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.