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Finding the Third Proportional to 124,128 and 196,644

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Solution

The third proportional to 124,128 and 196,644 is: 311,524.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,128 : 196,644 = 196,644 : x
  2. Step 2: Convert to fraction form
    124,128/196,644 = 196,644/x
  3. Step 3: Cross multiply
    124,128x = 196,644 × 196,644
  4. Step 4: Simplify right side
    124,128x = 38,668,862,736
  5. Step 5: Solve for x
    x = 38,668,862,736/124,128
  6. Step 6: Final answer
    x = 311,524.09

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.