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Finding the Third Proportional to 305,439.61 and 401,652.42

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Solution

The third proportional to 305,439.61 and 401,652.42 is: 528,172.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,439.61 : 401,652.42 = 401,652.42 : x
  2. Step 2: Convert to fraction form
    305,439.61/401,652.42 = 401,652.42/x
  3. Step 3: Cross multiply
    305,439.61x = 401,652.42 × 401,652.42
  4. Step 4: Simplify right side
    305,439.61x = 161,324,667,998.05
  5. Step 5: Solve for x
    x = 161,324,667,998.05/305,439.61
  6. Step 6: Final answer
    x = 528,172.06

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.