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Finding the Third Proportional to 281,006 and 421,516

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Solution

The third proportional to 281,006 and 421,516 is: 632,284.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,006 : 421,516 = 421,516 : x
  2. Step 2: Convert to fraction form
    281,006/421,516 = 421,516/x
  3. Step 3: Cross multiply
    281,006x = 421,516 × 421,516
  4. Step 4: Simplify right side
    281,006x = 177,675,738,256
  5. Step 5: Solve for x
    x = 177,675,738,256/281,006
  6. Step 6: Final answer
    x = 632,284.50

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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.