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Finding the Third Proportional to 109,511 and 121,031

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Solution

The third proportional to 109,511 and 121,031 is: 133,762.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,511 : 121,031 = 121,031 : x
  2. Step 2: Convert to fraction form
    109,511/121,031 = 121,031/x
  3. Step 3: Cross multiply
    109,511x = 121,031 × 121,031
  4. Step 4: Simplify right side
    109,511x = 14,648,502,961
  5. Step 5: Solve for x
    x = 14,648,502,961/109,511
  6. Step 6: Final answer
    x = 133,762.85

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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.