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Finding the Third Proportional to 411,121.88 and 990,439.50

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Solution

The third proportional to 411,121.88 and 990,439.50 is: 2,386,081.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,121.88 : 990,439.50 = 990,439.50 : x
  2. Step 2: Convert to fraction form
    411,121.88/990,439.50 = 990,439.50/x
  3. Step 3: Cross multiply
    411,121.88x = 990,439.50 × 990,439.50
  4. Step 4: Simplify right side
    411,121.88x = 980,970,403,160.25
  5. Step 5: Solve for x
    x = 980,970,403,160.25/411,121.88
  6. Step 6: Final answer
    x = 2,386,081.75

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.