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Finding the Third Proportional to 180,460 and 391,656

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Solution

The third proportional to 180,460 and 391,656 is: 850,018.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,460 : 391,656 = 391,656 : x
  2. Step 2: Convert to fraction form
    180,460/391,656 = 391,656/x
  3. Step 3: Cross multiply
    180,460x = 391,656 × 391,656
  4. Step 4: Simplify right side
    180,460x = 153,394,422,336
  5. Step 5: Solve for x
    x = 153,394,422,336/180,460
  6. Step 6: Final answer
    x = 850,018.96

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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.