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Finding the Third Proportional to 120,719 and 180,438

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Solution

The third proportional to 120,719 and 180,438 is: 269,699.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,719 : 180,438 = 180,438 : x
  2. Step 2: Convert to fraction form
    120,719/180,438 = 180,438/x
  3. Step 3: Cross multiply
    120,719x = 180,438 × 180,438
  4. Step 4: Simplify right side
    120,719x = 32,557,871,844
  5. Step 5: Solve for x
    x = 32,557,871,844/120,719
  6. Step 6: Final answer
    x = 269,699.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.