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Finding the Third Proportional to 261,015 and 396,992.25

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Solution

The third proportional to 261,015 and 396,992.25 is: 603,807.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,015 : 396,992.25 = 396,992.25 : x
  2. Step 2: Convert to fraction form
    261,015/396,992.25 = 396,992.25/x
  3. Step 3: Cross multiply
    261,015x = 396,992.25 × 396,992.25
  4. Step 4: Simplify right side
    261,015x = 157,602,846,560.06
  5. Step 5: Solve for x
    x = 157,602,846,560.06/261,015
  6. Step 6: Final answer
    x = 603,807.62

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.