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Finding the Third Proportional to 143,923.50 and 215,902.13

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Solution

The third proportional to 143,923.50 and 215,902.13 is: 323,878.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,923.50 : 215,902.13 = 215,902.13 : x
  2. Step 2: Convert to fraction form
    143,923.50/215,902.13 = 215,902.13/x
  3. Step 3: Cross multiply
    143,923.50x = 215,902.13 × 215,902.13
  4. Step 4: Simplify right side
    143,923.50x = 46,613,727,579.52
  5. Step 5: Solve for x
    x = 46,613,727,579.52/143,923.50
  6. Step 6: Final answer
    x = 323,878.50

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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.