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Finding the Third Proportional to 81,128 and 121,017

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Solution

The third proportional to 81,128 and 121,017 is: 180,518.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,128 : 121,017 = 121,017 : x
  2. Step 2: Convert to fraction form
    81,128/121,017 = 121,017/x
  3. Step 3: Cross multiply
    81,128x = 121,017 × 121,017
  4. Step 4: Simplify right side
    81,128x = 14,645,114,289
  5. Step 5: Solve for x
    x = 14,645,114,289/81,128
  6. Step 6: Final answer
    x = 180,518.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.