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Finding the Third Proportional to 143,840 and 217,754

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Solution

The third proportional to 143,840 and 217,754 is: 329,649.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,840 : 217,754 = 217,754 : x
  2. Step 2: Convert to fraction form
    143,840/217,754 = 217,754/x
  3. Step 3: Cross multiply
    143,840x = 217,754 × 217,754
  4. Step 4: Simplify right side
    143,840x = 47,416,804,516
  5. Step 5: Solve for x
    x = 47,416,804,516/143,840
  6. Step 6: Final answer
    x = 329,649.64

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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.