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Finding the Third Proportional to 266,103 and 401,908.50

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Solution

The third proportional to 266,103 and 401,908.50 is: 607,022.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,103 : 401,908.50 = 401,908.50 : x
  2. Step 2: Convert to fraction form
    266,103/401,908.50 = 401,908.50/x
  3. Step 3: Cross multiply
    266,103x = 401,908.50 × 401,908.50
  4. Step 4: Simplify right side
    266,103x = 161,530,442,372.25
  5. Step 5: Solve for x
    x = 161,530,442,372.25/266,103
  6. Step 6: Final answer
    x = 607,022.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.