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Finding the Third Proportional to 180,293 and 391,887

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Solution

The third proportional to 180,293 and 391,887 is: 851,810.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,293 : 391,887 = 391,887 : x
  2. Step 2: Convert to fraction form
    180,293/391,887 = 391,887/x
  3. Step 3: Cross multiply
    180,293x = 391,887 × 391,887
  4. Step 4: Simplify right side
    180,293x = 153,575,420,769
  5. Step 5: Solve for x
    x = 153,575,420,769/180,293
  6. Step 6: Final answer
    x = 851,810.22

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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.