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Finding the Third Proportional to 180,070 and 391,850

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Solution

The third proportional to 180,070 and 391,850 is: 852,704.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,070 : 391,850 = 391,850 : x
  2. Step 2: Convert to fraction form
    180,070/391,850 = 391,850/x
  3. Step 3: Cross multiply
    180,070x = 391,850 × 391,850
  4. Step 4: Simplify right side
    180,070x = 153,546,422,500
  5. Step 5: Solve for x
    x = 153,546,422,500/180,070
  6. Step 6: Final answer
    x = 852,704.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.