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Finding the Third Proportional to 303,454.50 and 455,959.50

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Solution

The third proportional to 303,454.50 and 455,959.50 is: 685,107.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,454.50 : 455,959.50 = 455,959.50 : x
  2. Step 2: Convert to fraction form
    303,454.50/455,959.50 = 455,959.50/x
  3. Step 3: Cross multiply
    303,454.50x = 455,959.50 × 455,959.50
  4. Step 4: Simplify right side
    303,454.50x = 207,899,065,640.25
  5. Step 5: Solve for x
    x = 207,899,065,640.25/303,454.50
  6. Step 6: Final answer
    x = 685,107.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.