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Finding the Third Proportional to 128,691 and 185,653

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Solution

The third proportional to 128,691 and 185,653 is: 267,827.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,691 : 185,653 = 185,653 : x
  2. Step 2: Convert to fraction form
    128,691/185,653 = 185,653/x
  3. Step 3: Cross multiply
    128,691x = 185,653 × 185,653
  4. Step 4: Simplify right side
    128,691x = 34,467,036,409
  5. Step 5: Solve for x
    x = 34,467,036,409/128,691
  6. Step 6: Final answer
    x = 267,827.87

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.