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Finding the Third Proportional to 91,959 and 198,429.75

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Solution

The third proportional to 91,959 and 198,429.75 is: 428,173.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,959 : 198,429.75 = 198,429.75 : x
  2. Step 2: Convert to fraction form
    91,959/198,429.75 = 198,429.75/x
  3. Step 3: Cross multiply
    91,959x = 198,429.75 × 198,429.75
  4. Step 4: Simplify right side
    91,959x = 39,374,365,685.06
  5. Step 5: Solve for x
    x = 39,374,365,685.06/91,959
  6. Step 6: Final answer
    x = 428,173.05

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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.