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Finding the Third Proportional to 403,611.75 and 856,422

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Solution

The third proportional to 403,611.75 and 856,422 is: 1,817,238.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,611.75 : 856,422 = 856,422 : x
  2. Step 2: Convert to fraction form
    403,611.75/856,422 = 856,422/x
  3. Step 3: Cross multiply
    403,611.75x = 856,422 × 856,422
  4. Step 4: Simplify right side
    403,611.75x = 733,458,642,084
  5. Step 5: Solve for x
    x = 733,458,642,084/403,611.75
  6. Step 6: Final answer
    x = 1,817,238.08

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.