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Finding the Third Proportional to 180,522 and 391,661

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Solution

The third proportional to 180,522 and 391,661 is: 849,748.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,522 : 391,661 = 391,661 : x
  2. Step 2: Convert to fraction form
    180,522/391,661 = 391,661/x
  3. Step 3: Cross multiply
    180,522x = 391,661 × 391,661
  4. Step 4: Simplify right side
    180,522x = 153,398,338,921
  5. Step 5: Solve for x
    x = 153,398,338,921/180,522
  6. Step 6: Final answer
    x = 849,748.72

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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.