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Finding the Third Proportional to 258,616.50 and 401,373

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Solution

The third proportional to 258,616.50 and 401,373 is: 622,931.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,616.50 : 401,373 = 401,373 : x
  2. Step 2: Convert to fraction form
    258,616.50/401,373 = 401,373/x
  3. Step 3: Cross multiply
    258,616.50x = 401,373 × 401,373
  4. Step 4: Simplify right side
    258,616.50x = 161,100,285,129
  5. Step 5: Solve for x
    x = 161,100,285,129/258,616.50
  6. Step 6: Final answer
    x = 622,931.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.