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Finding the Third Proportional to 210,642.75 and 323,003.25

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Solution

The third proportional to 210,642.75 and 323,003.25 is: 495,298.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,642.75 : 323,003.25 = 323,003.25 : x
  2. Step 2: Convert to fraction form
    210,642.75/323,003.25 = 323,003.25/x
  3. Step 3: Cross multiply
    210,642.75x = 323,003.25 × 323,003.25
  4. Step 4: Simplify right side
    210,642.75x = 104,331,099,510.56
  5. Step 5: Solve for x
    x = 104,331,099,510.56/210,642.75
  6. Step 6: Final answer
    x = 495,298.79

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.