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Finding the Third Proportional to 83,238 and 128,077

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Solution

The third proportional to 83,238 and 128,077 is: 197,070.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,238 : 128,077 = 128,077 : x
  2. Step 2: Convert to fraction form
    83,238/128,077 = 128,077/x
  3. Step 3: Cross multiply
    83,238x = 128,077 × 128,077
  4. Step 4: Simplify right side
    83,238x = 16,403,717,929
  5. Step 5: Solve for x
    x = 16,403,717,929/83,238
  6. Step 6: Final answer
    x = 197,070.06

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.