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Finding the Third Proportional to 458,944 and 990,400

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Solution

The third proportional to 458,944 and 990,400 is: 2,137,280.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,944 : 990,400 = 990,400 : x
  2. Step 2: Convert to fraction form
    458,944/990,400 = 990,400/x
  3. Step 3: Cross multiply
    458,944x = 990,400 × 990,400
  4. Step 4: Simplify right side
    458,944x = 980,892,160,000
  5. Step 5: Solve for x
    x = 980,892,160,000/458,944
  6. Step 6: Final answer
    x = 2,137,280.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.