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Finding the Third Proportional to 143,532 and 213,657

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Solution

The third proportional to 143,532 and 213,657 is: 318,042.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,532 : 213,657 = 213,657 : x
  2. Step 2: Convert to fraction form
    143,532/213,657 = 213,657/x
  3. Step 3: Cross multiply
    143,532x = 213,657 × 213,657
  4. Step 4: Simplify right side
    143,532x = 45,649,313,649
  5. Step 5: Solve for x
    x = 45,649,313,649/143,532
  6. Step 6: Final answer
    x = 318,042.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.