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Finding the Third Proportional to 109,498 and 121,018

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Solution

The third proportional to 109,498 and 121,018 is: 133,749.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,498 : 121,018 = 121,018 : x
  2. Step 2: Convert to fraction form
    109,498/121,018 = 121,018/x
  3. Step 3: Cross multiply
    109,498x = 121,018 × 121,018
  4. Step 4: Simplify right side
    109,498x = 14,645,356,324
  5. Step 5: Solve for x
    x = 14,645,356,324/109,498
  6. Step 6: Final answer
    x = 133,749.99

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.