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Finding the Third Proportional to 1,990,200.38 and 2,982,171.94

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Solution

The third proportional to 1,990,200.38 and 2,982,171.94 is: 4,468,569.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,990,200.38 : 2,982,171.94 = 2,982,171.94 : x
  2. Step 2: Convert to fraction form
    1,990,200.38/2,982,171.94 = 2,982,171.94/x
  3. Step 3: Cross multiply
    1,990,200.38x = 2,982,171.94 × 2,982,171.94
  4. Step 4: Simplify right side
    1,990,200.38x = 8,893,349,464,812.50
  5. Step 5: Solve for x
    x = 8,893,349,464,812.50/1,990,200.38
  6. Step 6: Final answer
    x = 4,468,569.89

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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.