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Finding the Third Proportional to 120,150 and 169,011

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Solution

The third proportional to 120,150 and 169,011 is: 237,742.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,150 : 169,011 = 169,011 : x
  2. Step 2: Convert to fraction form
    120,150/169,011 = 169,011/x
  3. Step 3: Cross multiply
    120,150x = 169,011 × 169,011
  4. Step 4: Simplify right side
    120,150x = 28,564,718,121
  5. Step 5: Solve for x
    x = 28,564,718,121/120,150
  6. Step 6: Final answer
    x = 237,742.14

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.