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Finding the Third Proportional to 140,823 and 212,432

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Solution

The third proportional to 140,823 and 212,432 is: 320,454.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,823 : 212,432 = 212,432 : x
  2. Step 2: Convert to fraction form
    140,823/212,432 = 212,432/x
  3. Step 3: Cross multiply
    140,823x = 212,432 × 212,432
  4. Step 4: Simplify right side
    140,823x = 45,127,354,624
  5. Step 5: Solve for x
    x = 45,127,354,624/140,823
  6. Step 6: Final answer
    x = 320,454.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.