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Finding the Third Proportional to 97,315 and 209,635

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Solution

The third proportional to 97,315 and 209,635 is: 451,593.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,315 : 209,635 = 209,635 : x
  2. Step 2: Convert to fraction form
    97,315/209,635 = 209,635/x
  3. Step 3: Cross multiply
    97,315x = 209,635 × 209,635
  4. Step 4: Simplify right side
    97,315x = 43,946,833,225
  5. Step 5: Solve for x
    x = 43,946,833,225/97,315
  6. Step 6: Final answer
    x = 451,593.62

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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.