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Finding the Third Proportional to 89,209 and 193,970

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Solution

The third proportional to 89,209 and 193,970 is: 421,755.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,209 : 193,970 = 193,970 : x
  2. Step 2: Convert to fraction form
    89,209/193,970 = 193,970/x
  3. Step 3: Cross multiply
    89,209x = 193,970 × 193,970
  4. Step 4: Simplify right side
    89,209x = 37,624,360,900
  5. Step 5: Solve for x
    x = 37,624,360,900/89,209
  6. Step 6: Final answer
    x = 421,755.21

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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.