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Finding the Third Proportional to 180,392 and 391,523

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Solution

The third proportional to 180,392 and 391,523 is: 849,761.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,392 : 391,523 = 391,523 : x
  2. Step 2: Convert to fraction form
    180,392/391,523 = 391,523/x
  3. Step 3: Cross multiply
    180,392x = 391,523 × 391,523
  4. Step 4: Simplify right side
    180,392x = 153,290,259,529
  5. Step 5: Solve for x
    x = 153,290,259,529/180,392
  6. Step 6: Final answer
    x = 849,761.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.