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Finding the Third Proportional to 490,205.25 and 675,040.50

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Solution

The third proportional to 490,205.25 and 675,040.50 is: 929,569.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,205.25 : 675,040.50 = 675,040.50 : x
  2. Step 2: Convert to fraction form
    490,205.25/675,040.50 = 675,040.50/x
  3. Step 3: Cross multiply
    490,205.25x = 675,040.50 × 675,040.50
  4. Step 4: Simplify right side
    490,205.25x = 455,679,676,640.25
  5. Step 5: Solve for x
    x = 455,679,676,640.25/490,205.25
  6. Step 6: Final answer
    x = 929,569.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.