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Finding the Third Proportional to 204,283.50 and 337,610.25

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Solution

The third proportional to 204,283.50 and 337,610.25 is: 557,953.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,283.50 : 337,610.25 = 337,610.25 : x
  2. Step 2: Convert to fraction form
    204,283.50/337,610.25 = 337,610.25/x
  3. Step 3: Cross multiply
    204,283.50x = 337,610.25 × 337,610.25
  4. Step 4: Simplify right side
    204,283.50x = 113,980,680,905.06
  5. Step 5: Solve for x
    x = 113,980,680,905.06/204,283.50
  6. Step 6: Final answer
    x = 557,953.44

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.