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Finding the Third Proportional to 105,909 and 161,347

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Solution

The third proportional to 105,909 and 161,347 is: 245,803.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,909 : 161,347 = 161,347 : x
  2. Step 2: Convert to fraction form
    105,909/161,347 = 161,347/x
  3. Step 3: Cross multiply
    105,909x = 161,347 × 161,347
  4. Step 4: Simplify right side
    105,909x = 26,032,854,409
  5. Step 5: Solve for x
    x = 26,032,854,409/105,909
  6. Step 6: Final answer
    x = 245,803.99

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.