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Finding the Third Proportional to 120,624 and 183,432

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Solution

The third proportional to 120,624 and 183,432 is: 278,943.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,624 : 183,432 = 183,432 : x
  2. Step 2: Convert to fraction form
    120,624/183,432 = 183,432/x
  3. Step 3: Cross multiply
    120,624x = 183,432 × 183,432
  4. Step 4: Simplify right side
    120,624x = 33,647,298,624
  5. Step 5: Solve for x
    x = 33,647,298,624/120,624
  6. Step 6: Final answer
    x = 278,943.65

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.