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Finding the Third Proportional to 92,896.88 and 204,292.13

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Solution

The third proportional to 92,896.88 and 204,292.13 is: 449,264.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,896.88 : 204,292.13 = 204,292.13 : x
  2. Step 2: Convert to fraction form
    92,896.88/204,292.13 = 204,292.13/x
  3. Step 3: Cross multiply
    92,896.88x = 204,292.13 × 204,292.13
  4. Step 4: Simplify right side
    92,896.88x = 41,735,272,337.02
  5. Step 5: Solve for x
    x = 41,735,272,337.02/92,896.88
  6. Step 6: Final answer
    x = 449,264.55

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.