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Finding the Third Proportional to 458,413 and 990,567

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Solution

The third proportional to 458,413 and 990,567 is: 2,140,478.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,413 : 990,567 = 990,567 : x
  2. Step 2: Convert to fraction form
    458,413/990,567 = 990,567/x
  3. Step 3: Cross multiply
    458,413x = 990,567 × 990,567
  4. Step 4: Simplify right side
    458,413x = 981,222,981,489
  5. Step 5: Solve for x
    x = 981,222,981,489/458,413
  6. Step 6: Final answer
    x = 2,140,478.09

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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.