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Finding the Third Proportional to 458,784 and 987,876

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Solution

The third proportional to 458,784 and 987,876 is: 2,127,142.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,784 : 987,876 = 987,876 : x
  2. Step 2: Convert to fraction form
    458,784/987,876 = 987,876/x
  3. Step 3: Cross multiply
    458,784x = 987,876 × 987,876
  4. Step 4: Simplify right side
    458,784x = 975,898,991,376
  5. Step 5: Solve for x
    x = 975,898,991,376/458,784
  6. Step 6: Final answer
    x = 2,127,142.60

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.