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Finding the Third Proportional to 238,140 and 324,306

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Solution

The third proportional to 238,140 and 324,306 is: 441,649.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,140 : 324,306 = 324,306 : x
  2. Step 2: Convert to fraction form
    238,140/324,306 = 324,306/x
  3. Step 3: Cross multiply
    238,140x = 324,306 × 324,306
  4. Step 4: Simplify right side
    238,140x = 105,174,381,636
  5. Step 5: Solve for x
    x = 105,174,381,636/238,140
  6. Step 6: Final answer
    x = 441,649.37

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.