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Finding the Third Proportional to 355,117.50 and 762,939

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Solution

The third proportional to 355,117.50 and 762,939 is: 1,639,107.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,117.50 : 762,939 = 762,939 : x
  2. Step 2: Convert to fraction form
    355,117.50/762,939 = 762,939/x
  3. Step 3: Cross multiply
    355,117.50x = 762,939 × 762,939
  4. Step 4: Simplify right side
    355,117.50x = 582,075,917,721
  5. Step 5: Solve for x
    x = 582,075,917,721/355,117.50
  6. Step 6: Final answer
    x = 1,639,107.95

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.