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Finding the Third Proportional to 509,989.50 and 765,227.25

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Solution

The third proportional to 509,989.50 and 765,227.25 is: 1,148,205.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,989.50 : 765,227.25 = 765,227.25 : x
  2. Step 2: Convert to fraction form
    509,989.50/765,227.25 = 765,227.25/x
  3. Step 3: Cross multiply
    509,989.50x = 765,227.25 × 765,227.25
  4. Step 4: Simplify right side
    509,989.50x = 585,572,744,142.56
  5. Step 5: Solve for x
    x = 585,572,744,142.56/509,989.50
  6. Step 6: Final answer
    x = 1,148,205.49

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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.