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Finding the Third Proportional to 204,275.25 and 433,127.25

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Solution

The third proportional to 204,275.25 and 433,127.25 is: 918,364.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,275.25 : 433,127.25 = 433,127.25 : x
  2. Step 2: Convert to fraction form
    204,275.25/433,127.25 = 433,127.25/x
  3. Step 3: Cross multiply
    204,275.25x = 433,127.25 × 433,127.25
  4. Step 4: Simplify right side
    204,275.25x = 187,599,214,692.56
  5. Step 5: Solve for x
    x = 187,599,214,692.56/204,275.25
  6. Step 6: Final answer
    x = 918,364.88

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.