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Finding the Third Proportional to 82,370 and 180,778

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Solution

The third proportional to 82,370 and 180,778 is: 396,754.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,370 : 180,778 = 180,778 : x
  2. Step 2: Convert to fraction form
    82,370/180,778 = 180,778/x
  3. Step 3: Cross multiply
    82,370x = 180,778 × 180,778
  4. Step 4: Simplify right side
    82,370x = 32,680,685,284
  5. Step 5: Solve for x
    x = 32,680,685,284/82,370
  6. Step 6: Final answer
    x = 396,754.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.