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Finding the Third Proportional to 128,782 and 189,321

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Solution

The third proportional to 128,782 and 189,321 is: 278,318.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,782 : 189,321 = 189,321 : x
  2. Step 2: Convert to fraction form
    128,782/189,321 = 189,321/x
  3. Step 3: Cross multiply
    128,782x = 189,321 × 189,321
  4. Step 4: Simplify right side
    128,782x = 35,842,441,041
  5. Step 5: Solve for x
    x = 35,842,441,041/128,782
  6. Step 6: Final answer
    x = 278,318.72

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.