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Finding the Third Proportional to 72,344 and 161,288

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Solution

The third proportional to 72,344 and 161,288 is: 359,585.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,344 : 161,288 = 161,288 : x
  2. Step 2: Convert to fraction form
    72,344/161,288 = 161,288/x
  3. Step 3: Cross multiply
    72,344x = 161,288 × 161,288
  4. Step 4: Simplify right side
    72,344x = 26,013,818,944
  5. Step 5: Solve for x
    x = 26,013,818,944/72,344
  6. Step 6: Final answer
    x = 359,585.02

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.