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Finding the Third Proportional to 486,564.50 and 774,815.25

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Solution

The third proportional to 486,564.50 and 774,815.25 is: 1,233,831.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,564.50 : 774,815.25 = 774,815.25 : x
  2. Step 2: Convert to fraction form
    486,564.50/774,815.25 = 774,815.25/x
  3. Step 3: Cross multiply
    486,564.50x = 774,815.25 × 774,815.25
  4. Step 4: Simplify right side
    486,564.50x = 600,338,671,632.56
  5. Step 5: Solve for x
    x = 600,338,671,632.56/486,564.50
  6. Step 6: Final answer
    x = 1,233,831.63

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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.