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Finding the Third Proportional to 210,439.50 and 315,902.25

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Solution

The third proportional to 210,439.50 and 315,902.25 is: 474,218.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,439.50 : 315,902.25 = 315,902.25 : x
  2. Step 2: Convert to fraction form
    210,439.50/315,902.25 = 315,902.25/x
  3. Step 3: Cross multiply
    210,439.50x = 315,902.25 × 315,902.25
  4. Step 4: Simplify right side
    210,439.50x = 99,794,231,555.06
  5. Step 5: Solve for x
    x = 99,794,231,555.06/210,439.50
  6. Step 6: Final answer
    x = 474,218.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.