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Finding the Third Proportional to 128,769 and 199,221

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Solution

The third proportional to 128,769 and 199,221 is: 308,218.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,769 : 199,221 = 199,221 : x
  2. Step 2: Convert to fraction form
    128,769/199,221 = 199,221/x
  3. Step 3: Cross multiply
    128,769x = 199,221 × 199,221
  4. Step 4: Simplify right side
    128,769x = 39,689,006,841
  5. Step 5: Solve for x
    x = 39,689,006,841/128,769
  6. Step 6: Final answer
    x = 308,218.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.