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Finding the Third Proportional to 83,857.78 and 128,247.05

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Solution

The third proportional to 83,857.78 and 128,247.05 is: 196,133.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,857.78 : 128,247.05 = 128,247.05 : x
  2. Step 2: Convert to fraction form
    83,857.78/128,247.05 = 128,247.05/x
  3. Step 3: Cross multiply
    83,857.78x = 128,247.05 × 128,247.05
  4. Step 4: Simplify right side
    83,857.78x = 16,447,305,032.16
  5. Step 5: Solve for x
    x = 16,447,305,032.16/83,857.78
  6. Step 6: Final answer
    x = 196,133.32

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.