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Finding the Third Proportional to 128,856 and 204,996

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Solution

The third proportional to 128,856 and 204,996 is: 326,126.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,856 : 204,996 = 204,996 : x
  2. Step 2: Convert to fraction form
    128,856/204,996 = 204,996/x
  3. Step 3: Cross multiply
    128,856x = 204,996 × 204,996
  4. Step 4: Simplify right side
    128,856x = 42,023,360,016
  5. Step 5: Solve for x
    x = 42,023,360,016/128,856
  6. Step 6: Final answer
    x = 326,126.53

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.