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Finding the Third Proportional to 89,139 and 195,771.75

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Solution

The third proportional to 89,139 and 195,771.75 is: 429,964.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,139 : 195,771.75 = 195,771.75 : x
  2. Step 2: Convert to fraction form
    89,139/195,771.75 = 195,771.75/x
  3. Step 3: Cross multiply
    89,139x = 195,771.75 × 195,771.75
  4. Step 4: Simplify right side
    89,139x = 38,326,578,098.06
  5. Step 5: Solve for x
    x = 38,326,578,098.06/89,139
  6. Step 6: Final answer
    x = 429,964.19

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.