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Finding the Third Proportional to 180,531 and 391,194

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Solution

The third proportional to 180,531 and 391,194 is: 847,681.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,531 : 391,194 = 391,194 : x
  2. Step 2: Convert to fraction form
    180,531/391,194 = 391,194/x
  3. Step 3: Cross multiply
    180,531x = 391,194 × 391,194
  4. Step 4: Simplify right side
    180,531x = 153,032,745,636
  5. Step 5: Solve for x
    x = 153,032,745,636/180,531
  6. Step 6: Final answer
    x = 847,681.26

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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.