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Finding the Third Proportional to 85,540 and 207,288

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Solution

The third proportional to 85,540 and 207,288 is: 502,318.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,540 : 207,288 = 207,288 : x
  2. Step 2: Convert to fraction form
    85,540/207,288 = 207,288/x
  3. Step 3: Cross multiply
    85,540x = 207,288 × 207,288
  4. Step 4: Simplify right side
    85,540x = 42,968,314,944
  5. Step 5: Solve for x
    x = 42,968,314,944/85,540
  6. Step 6: Final answer
    x = 502,318.39

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.