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Finding the Third Proportional to 321,782 and 423,143

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Solution

The third proportional to 321,782 and 423,143 is: 556,432.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,782 : 423,143 = 423,143 : x
  2. Step 2: Convert to fraction form
    321,782/423,143 = 423,143/x
  3. Step 3: Cross multiply
    321,782x = 423,143 × 423,143
  4. Step 4: Simplify right side
    321,782x = 179,049,998,449
  5. Step 5: Solve for x
    x = 179,049,998,449/321,782
  6. Step 6: Final answer
    x = 556,432.61

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.