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Finding the Third Proportional to 180,446 and 391,628

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Solution

The third proportional to 180,446 and 391,628 is: 849,963.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,446 : 391,628 = 391,628 : x
  2. Step 2: Convert to fraction form
    180,446/391,628 = 391,628/x
  3. Step 3: Cross multiply
    180,446x = 391,628 × 391,628
  4. Step 4: Simplify right side
    180,446x = 153,372,490,384
  5. Step 5: Solve for x
    x = 153,372,490,384/180,446
  6. Step 6: Final answer
    x = 849,963.37

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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.