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Finding the Third Proportional to 143,864.25 and 217,795.50

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Solution

The third proportional to 143,864.25 and 217,795.50 is: 329,719.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,864.25 : 217,795.50 = 217,795.50 : x
  2. Step 2: Convert to fraction form
    143,864.25/217,795.50 = 217,795.50/x
  3. Step 3: Cross multiply
    143,864.25x = 217,795.50 × 217,795.50
  4. Step 4: Simplify right side
    143,864.25x = 47,434,879,820.25
  5. Step 5: Solve for x
    x = 47,434,879,820.25/143,864.25
  6. Step 6: Final answer
    x = 329,719.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.