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Finding the Third Proportional to 460,687.50 and 996,289.88

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Solution

The third proportional to 460,687.50 and 996,289.88 is: 2,154,591.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,687.50 : 996,289.88 = 996,289.88 : x
  2. Step 2: Convert to fraction form
    460,687.50/996,289.88 = 996,289.88/x
  3. Step 3: Cross multiply
    460,687.50x = 996,289.88 × 996,289.88
  4. Step 4: Simplify right side
    460,687.50x = 992,593,515,027.52
  5. Step 5: Solve for x
    x = 992,593,515,027.52/460,687.50
  6. Step 6: Final answer
    x = 2,154,591.81

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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.