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Finding the Third Proportional to 401,078 and 856,292

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Solution

The third proportional to 401,078 and 856,292 is: 1,828,163.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,078 : 856,292 = 856,292 : x
  2. Step 2: Convert to fraction form
    401,078/856,292 = 856,292/x
  3. Step 3: Cross multiply
    401,078x = 856,292 × 856,292
  4. Step 4: Simplify right side
    401,078x = 733,235,989,264
  5. Step 5: Solve for x
    x = 733,235,989,264/401,078
  6. Step 6: Final answer
    x = 1,828,163.07

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.