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Finding the Third Proportional to 200,932.31 and 310,846.78

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Solution

The third proportional to 200,932.31 and 310,846.78 is: 480,886.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,932.31 : 310,846.78 = 310,846.78 : x
  2. Step 2: Convert to fraction form
    200,932.31/310,846.78 = 310,846.78/x
  3. Step 3: Cross multiply
    200,932.31x = 310,846.78 × 310,846.78
  4. Step 4: Simplify right side
    200,932.31x = 96,625,721,413.49
  5. Step 5: Solve for x
    x = 96,625,721,413.49/200,932.31
  6. Step 6: Final answer
    x = 480,886.92

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.