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Finding the Third Proportional to 310,321.50 and 725,209.50

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Solution

The third proportional to 310,321.50 and 725,209.50 is: 1,694,786.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,321.50 : 725,209.50 = 725,209.50 : x
  2. Step 2: Convert to fraction form
    310,321.50/725,209.50 = 725,209.50/x
  3. Step 3: Cross multiply
    310,321.50x = 725,209.50 × 725,209.50
  4. Step 4: Simplify right side
    310,321.50x = 525,928,818,890.25
  5. Step 5: Solve for x
    x = 525,928,818,890.25/310,321.50
  6. Step 6: Final answer
    x = 1,694,786.92

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.