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Finding the Third Proportional to 92,552.63 and 198,227.25

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Solution

The third proportional to 92,552.63 and 198,227.25 is: 424,558.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,552.63 : 198,227.25 = 198,227.25 : x
  2. Step 2: Convert to fraction form
    92,552.63/198,227.25 = 198,227.25/x
  3. Step 3: Cross multiply
    92,552.63x = 198,227.25 × 198,227.25
  4. Step 4: Simplify right side
    92,552.63x = 39,294,042,642.56
  5. Step 5: Solve for x
    x = 39,294,042,642.56/92,552.63
  6. Step 6: Final answer
    x = 424,558.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.