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Finding the Third Proportional to 129,342 and 188,989

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Solution

The third proportional to 129,342 and 188,989 is: 276,142.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,342 : 188,989 = 188,989 : x
  2. Step 2: Convert to fraction form
    129,342/188,989 = 188,989/x
  3. Step 3: Cross multiply
    129,342x = 188,989 × 188,989
  4. Step 4: Simplify right side
    129,342x = 35,716,842,121
  5. Step 5: Solve for x
    x = 35,716,842,121/129,342
  6. Step 6: Final answer
    x = 276,142.65

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.