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Finding the Third Proportional to 112,412 and 169,361

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Solution

The third proportional to 112,412 and 169,361 is: 255,160.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,412 : 169,361 = 169,361 : x
  2. Step 2: Convert to fraction form
    112,412/169,361 = 169,361/x
  3. Step 3: Cross multiply
    112,412x = 169,361 × 169,361
  4. Step 4: Simplify right side
    112,412x = 28,683,148,321
  5. Step 5: Solve for x
    x = 28,683,148,321/112,412
  6. Step 6: Final answer
    x = 255,160.91

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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.