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Finding the Third Proportional to 108,172 and 161,359

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Solution

The third proportional to 108,172 and 161,359 is: 240,697.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,172 : 161,359 = 161,359 : x
  2. Step 2: Convert to fraction form
    108,172/161,359 = 161,359/x
  3. Step 3: Cross multiply
    108,172x = 161,359 × 161,359
  4. Step 4: Simplify right side
    108,172x = 26,036,726,881
  5. Step 5: Solve for x
    x = 26,036,726,881/108,172
  6. Step 6: Final answer
    x = 240,697.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.