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Finding the Third Proportional to 451,539 and 987,035

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Solution

The third proportional to 451,539 and 987,035 is: 2,157,594.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,539 : 987,035 = 987,035 : x
  2. Step 2: Convert to fraction form
    451,539/987,035 = 987,035/x
  3. Step 3: Cross multiply
    451,539x = 987,035 × 987,035
  4. Step 4: Simplify right side
    451,539x = 974,238,091,225
  5. Step 5: Solve for x
    x = 974,238,091,225/451,539
  6. Step 6: Final answer
    x = 2,157,594.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.