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Finding the Third Proportional to 85,257 and 185,778

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Solution

The third proportional to 85,257 and 185,778 is: 404,816.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,257 : 185,778 = 185,778 : x
  2. Step 2: Convert to fraction form
    85,257/185,778 = 185,778/x
  3. Step 3: Cross multiply
    85,257x = 185,778 × 185,778
  4. Step 4: Simplify right side
    85,257x = 34,513,465,284
  5. Step 5: Solve for x
    x = 34,513,465,284/85,257
  6. Step 6: Final answer
    x = 404,816.79

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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.