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Finding the Third Proportional to 112,420 and 169,368

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Solution

The third proportional to 112,420 and 169,368 is: 255,163.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,420 : 169,368 = 169,368 : x
  2. Step 2: Convert to fraction form
    112,420/169,368 = 169,368/x
  3. Step 3: Cross multiply
    112,420x = 169,368 × 169,368
  4. Step 4: Simplify right side
    112,420x = 28,685,519,424
  5. Step 5: Solve for x
    x = 28,685,519,424/112,420
  6. Step 6: Final answer
    x = 255,163.84

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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.