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Finding the Third Proportional to 92,323.55 and 204,022.55

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Solution

The third proportional to 92,323.55 and 204,022.55 is: 450,862.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,323.55 : 204,022.55 = 204,022.55 : x
  2. Step 2: Convert to fraction form
    92,323.55/204,022.55 = 204,022.55/x
  3. Step 3: Cross multiply
    92,323.55x = 204,022.55 × 204,022.55
  4. Step 4: Simplify right side
    92,323.55x = 41,625,199,633.36
  5. Step 5: Solve for x
    x = 41,625,199,633.36/92,323.55
  6. Step 6: Final answer
    x = 450,862.22

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.