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Finding the Third Proportional to 91,054 and 198,712

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Solution

The third proportional to 91,054 and 198,712 is: 433,659.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,054 : 198,712 = 198,712 : x
  2. Step 2: Convert to fraction form
    91,054/198,712 = 198,712/x
  3. Step 3: Cross multiply
    91,054x = 198,712 × 198,712
  4. Step 4: Simplify right side
    91,054x = 39,486,458,944
  5. Step 5: Solve for x
    x = 39,486,458,944/91,054
  6. Step 6: Final answer
    x = 433,659.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.