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Finding the Third Proportional to 85,687 and 128,026

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Solution

The third proportional to 85,687 and 128,026 is: 191,285.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,687 : 128,026 = 128,026 : x
  2. Step 2: Convert to fraction form
    85,687/128,026 = 128,026/x
  3. Step 3: Cross multiply
    85,687x = 128,026 × 128,026
  4. Step 4: Simplify right side
    85,687x = 16,390,656,676
  5. Step 5: Solve for x
    x = 16,390,656,676/85,687
  6. Step 6: Final answer
    x = 191,285.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.