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Finding the Third Proportional to 486,553.50 and 774,798.75

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Solution

The third proportional to 486,553.50 and 774,798.75 is: 1,233,806.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,553.50 : 774,798.75 = 774,798.75 : x
  2. Step 2: Convert to fraction form
    486,553.50/774,798.75 = 774,798.75/x
  3. Step 3: Cross multiply
    486,553.50x = 774,798.75 × 774,798.75
  4. Step 4: Simplify right side
    486,553.50x = 600,313,103,001.56
  5. Step 5: Solve for x
    x = 600,313,103,001.56/486,553.50
  6. Step 6: Final answer
    x = 1,233,806.98

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.