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Finding the Third Proportional to 89,190 and 196,986.75

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Solution

The third proportional to 89,190 and 196,986.75 is: 435,068.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,190 : 196,986.75 = 196,986.75 : x
  2. Step 2: Convert to fraction form
    89,190/196,986.75 = 196,986.75/x
  3. Step 3: Cross multiply
    89,190x = 196,986.75 × 196,986.75
  4. Step 4: Simplify right side
    89,190x = 38,803,779,675.56
  5. Step 5: Solve for x
    x = 38,803,779,675.56/89,190
  6. Step 6: Final answer
    x = 435,068.73

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.