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Finding the Third Proportional to 142,611 and 213,471

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Solution

The third proportional to 142,611 and 213,471 is: 319,539.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,611 : 213,471 = 213,471 : x
  2. Step 2: Convert to fraction form
    142,611/213,471 = 213,471/x
  3. Step 3: Cross multiply
    142,611x = 213,471 × 213,471
  4. Step 4: Simplify right side
    142,611x = 45,569,867,841
  5. Step 5: Solve for x
    x = 45,569,867,841/142,611
  6. Step 6: Final answer
    x = 319,539.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.