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Finding the Third Proportional to 112,424 and 169,378

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Solution

The third proportional to 112,424 and 169,378 is: 255,184.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,424 : 169,378 = 169,378 : x
  2. Step 2: Convert to fraction form
    112,424/169,378 = 169,378/x
  3. Step 3: Cross multiply
    112,424x = 169,378 × 169,378
  4. Step 4: Simplify right side
    112,424x = 28,688,906,884
  5. Step 5: Solve for x
    x = 28,688,906,884/112,424
  6. Step 6: Final answer
    x = 255,184.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.