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Finding the Third Proportional to 281,737.50 and 422,607

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Solution

The third proportional to 281,737.50 and 422,607 is: 633,911.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,737.50 : 422,607 = 422,607 : x
  2. Step 2: Convert to fraction form
    281,737.50/422,607 = 422,607/x
  3. Step 3: Cross multiply
    281,737.50x = 422,607 × 422,607
  4. Step 4: Simplify right side
    281,737.50x = 178,596,676,449
  5. Step 5: Solve for x
    x = 178,596,676,449/281,737.50
  6. Step 6: Final answer
    x = 633,911.63

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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.