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Finding the Third Proportional to 813,727.50 and 1,782,468

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Solution

The third proportional to 813,727.50 and 1,782,468 is: 3,904,491.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,727.50 : 1,782,468 = 1,782,468 : x
  2. Step 2: Convert to fraction form
    813,727.50/1,782,468 = 1,782,468/x
  3. Step 3: Cross multiply
    813,727.50x = 1,782,468 × 1,782,468
  4. Step 4: Simplify right side
    813,727.50x = 3,177,192,171,024
  5. Step 5: Solve for x
    x = 3,177,192,171,024/813,727.50
  6. Step 6: Final answer
    x = 3,904,491.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.