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Finding the Third Proportional to 237,109 and 421,588

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Solution

The third proportional to 237,109 and 421,588 is: 749,598.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,109 : 421,588 = 421,588 : x
  2. Step 2: Convert to fraction form
    237,109/421,588 = 421,588/x
  3. Step 3: Cross multiply
    237,109x = 421,588 × 421,588
  4. Step 4: Simplify right side
    237,109x = 177,736,441,744
  5. Step 5: Solve for x
    x = 177,736,441,744/237,109
  6. Step 6: Final answer
    x = 749,598.04

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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.