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Finding the Third Proportional to 494,551.50 and 770,718

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Solution

The third proportional to 494,551.50 and 770,718 is: 1,201,100.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,551.50 : 770,718 = 770,718 : x
  2. Step 2: Convert to fraction form
    494,551.50/770,718 = 770,718/x
  3. Step 3: Cross multiply
    494,551.50x = 770,718 × 770,718
  4. Step 4: Simplify right side
    494,551.50x = 594,006,235,524
  5. Step 5: Solve for x
    x = 594,006,235,524/494,551.50
  6. Step 6: Final answer
    x = 1,201,100.87

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.