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Finding the Third Proportional to 701,302.50 and 1,025,709.75

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Solution

The third proportional to 701,302.50 and 1,025,709.75 is: 1,500,180.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,302.50 : 1,025,709.75 = 1,025,709.75 : x
  2. Step 2: Convert to fraction form
    701,302.50/1,025,709.75 = 1,025,709.75/x
  3. Step 3: Cross multiply
    701,302.50x = 1,025,709.75 × 1,025,709.75
  4. Step 4: Simplify right side
    701,302.50x = 1,052,080,491,245.06
  5. Step 5: Solve for x
    x = 1,052,080,491,245.06/701,302.50
  6. Step 6: Final answer
    x = 1,500,180.72

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.