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Finding the Third Proportional to 91,986.75 and 198,490.50

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Solution

The third proportional to 91,986.75 and 198,490.50 is: 428,306.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,986.75 : 198,490.50 = 198,490.50 : x
  2. Step 2: Convert to fraction form
    91,986.75/198,490.50 = 198,490.50/x
  3. Step 3: Cross multiply
    91,986.75x = 198,490.50 × 198,490.50
  4. Step 4: Simplify right side
    91,986.75x = 39,398,478,590.25
  5. Step 5: Solve for x
    x = 39,398,478,590.25/91,986.75
  6. Step 6: Final answer
    x = 428,306.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.