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Finding the Third Proportional to 91,090 and 195,787

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Solution

The third proportional to 91,090 and 195,787 is: 420,820.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,090 : 195,787 = 195,787 : x
  2. Step 2: Convert to fraction form
    91,090/195,787 = 195,787/x
  3. Step 3: Cross multiply
    91,090x = 195,787 × 195,787
  4. Step 4: Simplify right side
    91,090x = 38,332,549,369
  5. Step 5: Solve for x
    x = 38,332,549,369/91,090
  6. Step 6: Final answer
    x = 420,820.61

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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.