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Finding the Third Proportional to 109,503 and 121,023

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Solution

The third proportional to 109,503 and 121,023 is: 133,754.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,503 : 121,023 = 121,023 : x
  2. Step 2: Convert to fraction form
    109,503/121,023 = 121,023/x
  3. Step 3: Cross multiply
    109,503x = 121,023 × 121,023
  4. Step 4: Simplify right side
    109,503x = 14,646,566,529
  5. Step 5: Solve for x
    x = 14,646,566,529/109,503
  6. Step 6: Final answer
    x = 133,754.93

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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.