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Finding the Third Proportional to 77,344 and 169,632

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Solution

The third proportional to 77,344 and 169,632 is: 372,039.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,344 : 169,632 = 169,632 : x
  2. Step 2: Convert to fraction form
    77,344/169,632 = 169,632/x
  3. Step 3: Cross multiply
    77,344x = 169,632 × 169,632
  4. Step 4: Simplify right side
    77,344x = 28,775,015,424
  5. Step 5: Solve for x
    x = 28,775,015,424/77,344
  6. Step 6: Final answer
    x = 372,039.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.