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Finding the Third Proportional to 237,111 and 421,591.50

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Solution

The third proportional to 237,111 and 421,591.50 is: 749,604.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,111 : 421,591.50 = 421,591.50 : x
  2. Step 2: Convert to fraction form
    237,111/421,591.50 = 421,591.50/x
  3. Step 3: Cross multiply
    237,111x = 421,591.50 × 421,591.50
  4. Step 4: Simplify right side
    237,111x = 177,739,392,872.25
  5. Step 5: Solve for x
    x = 177,739,392,872.25/237,111
  6. Step 6: Final answer
    x = 749,604.16

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.