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Finding the Third Proportional to 143,748 and 217,626.75

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Solution

The third proportional to 143,748 and 217,626.75 is: 329,475.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,748 : 217,626.75 = 217,626.75 : x
  2. Step 2: Convert to fraction form
    143,748/217,626.75 = 217,626.75/x
  3. Step 3: Cross multiply
    143,748x = 217,626.75 × 217,626.75
  4. Step 4: Simplify right side
    143,748x = 47,361,402,315.56
  5. Step 5: Solve for x
    x = 47,361,402,315.56/143,748
  6. Step 6: Final answer
    x = 329,475.21

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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.