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Finding the Third Proportional to 204,772.50 and 310,020.75

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Solution

The third proportional to 204,772.50 and 310,020.75 is: 469,364.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,772.50 : 310,020.75 = 310,020.75 : x
  2. Step 2: Convert to fraction form
    204,772.50/310,020.75 = 310,020.75/x
  3. Step 3: Cross multiply
    204,772.50x = 310,020.75 × 310,020.75
  4. Step 4: Simplify right side
    204,772.50x = 96,112,865,430.56
  5. Step 5: Solve for x
    x = 96,112,865,430.56/204,772.50
  6. Step 6: Final answer
    x = 469,364.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.