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Finding the Third Proportional to 124,800 and 168,128

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Solution

The third proportional to 124,800 and 168,128 is: 226,498.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,800 : 168,128 = 168,128 : x
  2. Step 2: Convert to fraction form
    124,800/168,128 = 168,128/x
  3. Step 3: Cross multiply
    124,800x = 168,128 × 168,128
  4. Step 4: Simplify right side
    124,800x = 28,267,024,384
  5. Step 5: Solve for x
    x = 28,267,024,384/124,800
  6. Step 6: Final answer
    x = 226,498.59

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.