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Finding the Third Proportional to 143,388 and 217,024

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Solution

The third proportional to 143,388 and 217,024 is: 328,475.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,388 : 217,024 = 217,024 : x
  2. Step 2: Convert to fraction form
    143,388/217,024 = 217,024/x
  3. Step 3: Cross multiply
    143,388x = 217,024 × 217,024
  4. Step 4: Simplify right side
    143,388x = 47,099,416,576
  5. Step 5: Solve for x
    x = 47,099,416,576/143,388
  6. Step 6: Final answer
    x = 328,475.30

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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.