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Finding the Third Proportional to 85,309 and 199,359

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Solution

The third proportional to 85,309 and 199,359 is: 465,882.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,309 : 199,359 = 199,359 : x
  2. Step 2: Convert to fraction form
    85,309/199,359 = 199,359/x
  3. Step 3: Cross multiply
    85,309x = 199,359 × 199,359
  4. Step 4: Simplify right side
    85,309x = 39,744,010,881
  5. Step 5: Solve for x
    x = 39,744,010,881/85,309
  6. Step 6: Final answer
    x = 465,882.98

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.