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Finding the Third Proportional to 98,401 and 206,715.75

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Solution

The third proportional to 98,401 and 206,715.75 is: 434,257.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,401 : 206,715.75 = 206,715.75 : x
  2. Step 2: Convert to fraction form
    98,401/206,715.75 = 206,715.75/x
  3. Step 3: Cross multiply
    98,401x = 206,715.75 × 206,715.75
  4. Step 4: Simplify right side
    98,401x = 42,731,401,298.06
  5. Step 5: Solve for x
    x = 42,731,401,298.06/98,401
  6. Step 6: Final answer
    x = 434,257.80

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.