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Finding the Third Proportional to 92,400.75 and 198,605.25

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Solution

The third proportional to 92,400.75 and 198,605.25 is: 426,880.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,400.75 : 198,605.25 = 198,605.25 : x
  2. Step 2: Convert to fraction form
    92,400.75/198,605.25 = 198,605.25/x
  3. Step 3: Cross multiply
    92,400.75x = 198,605.25 × 198,605.25
  4. Step 4: Simplify right side
    92,400.75x = 39,444,045,327.56
  5. Step 5: Solve for x
    x = 39,444,045,327.56/92,400.75
  6. Step 6: Final answer
    x = 426,880.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.