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Finding the Third Proportional to 1,990,192.78 and 2,982,168.14

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Solution

The third proportional to 1,990,192.78 and 2,982,168.14 is: 4,468,575.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,990,192.78 : 2,982,168.14 = 2,982,168.14 : x
  2. Step 2: Convert to fraction form
    1,990,192.78/2,982,168.14 = 2,982,168.14/x
  3. Step 3: Cross multiply
    1,990,192.78x = 2,982,168.14 × 2,982,168.14
  4. Step 4: Simplify right side
    1,990,192.78x = 8,893,326,818,958.77
  5. Step 5: Solve for x
    x = 8,893,326,818,958.77/1,990,192.78
  6. Step 6: Final answer
    x = 4,468,575.56

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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.