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Finding the Third Proportional to 281,038 and 421,564

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Solution

The third proportional to 281,038 and 421,564 is: 632,356.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,038 : 421,564 = 421,564 : x
  2. Step 2: Convert to fraction form
    281,038/421,564 = 421,564/x
  3. Step 3: Cross multiply
    281,038x = 421,564 × 421,564
  4. Step 4: Simplify right side
    281,038x = 177,716,206,096
  5. Step 5: Solve for x
    x = 177,716,206,096/281,038
  6. Step 6: Final answer
    x = 632,356.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.