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Finding the Third Proportional to 120,169 and 186,814

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Solution

The third proportional to 120,169 and 186,814 is: 290,419.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,169 : 186,814 = 186,814 : x
  2. Step 2: Convert to fraction form
    120,169/186,814 = 186,814/x
  3. Step 3: Cross multiply
    120,169x = 186,814 × 186,814
  4. Step 4: Simplify right side
    120,169x = 34,899,470,596
  5. Step 5: Solve for x
    x = 34,899,470,596/120,169
  6. Step 6: Final answer
    x = 290,419.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.