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Finding the Third Proportional to 90,199 and 195,769

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Solution

The third proportional to 90,199 and 195,769 is: 424,899.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,199 : 195,769 = 195,769 : x
  2. Step 2: Convert to fraction form
    90,199/195,769 = 195,769/x
  3. Step 3: Cross multiply
    90,199x = 195,769 × 195,769
  4. Step 4: Simplify right side
    90,199x = 38,325,501,361
  5. Step 5: Solve for x
    x = 38,325,501,361/90,199
  6. Step 6: Final answer
    x = 424,899.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.