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Finding the Third Proportional to 360,571.50 and 778,263.75

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Solution

The third proportional to 360,571.50 and 778,263.75 is: 1,679,817.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,571.50 : 778,263.75 = 778,263.75 : x
  2. Step 2: Convert to fraction form
    360,571.50/778,263.75 = 778,263.75/x
  3. Step 3: Cross multiply
    360,571.50x = 778,263.75 × 778,263.75
  4. Step 4: Simplify right side
    360,571.50x = 605,694,464,564.06
  5. Step 5: Solve for x
    x = 605,694,464,564.06/360,571.50
  6. Step 6: Final answer
    x = 1,679,817.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.