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Finding the Third Proportional to 120,102 and 179,721

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Solution

The third proportional to 120,102 and 179,721 is: 268,935.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,102 : 179,721 = 179,721 : x
  2. Step 2: Convert to fraction form
    120,102/179,721 = 179,721/x
  3. Step 3: Cross multiply
    120,102x = 179,721 × 179,721
  4. Step 4: Simplify right side
    120,102x = 32,299,637,841
  5. Step 5: Solve for x
    x = 32,299,637,841/120,102
  6. Step 6: Final answer
    x = 268,935.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.