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Finding the Third Proportional to 83,309 and 181,408

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Solution

The third proportional to 83,309 and 181,408 is: 395,021.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,309 : 181,408 = 181,408 : x
  2. Step 2: Convert to fraction form
    83,309/181,408 = 181,408/x
  3. Step 3: Cross multiply
    83,309x = 181,408 × 181,408
  4. Step 4: Simplify right side
    83,309x = 32,908,862,464
  5. Step 5: Solve for x
    x = 32,908,862,464/83,309
  6. Step 6: Final answer
    x = 395,021.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.