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Finding the Third Proportional to 200,976.75 and 319,915.13

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Solution

The third proportional to 200,976.75 and 319,915.13 is: 509,241.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,976.75 : 319,915.13 = 319,915.13 : x
  2. Step 2: Convert to fraction form
    200,976.75/319,915.13 = 319,915.13/x
  3. Step 3: Cross multiply
    200,976.75x = 319,915.13 × 319,915.13
  4. Step 4: Simplify right side
    200,976.75x = 102,345,687,203.77
  5. Step 5: Solve for x
    x = 102,345,687,203.77/200,976.75
  6. Step 6: Final answer
    x = 509,241.43

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.