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Finding the Third Proportional to 426,384 and 987,192

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Solution

The third proportional to 426,384 and 987,192 is: 2,285,611.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,384 : 987,192 = 987,192 : x
  2. Step 2: Convert to fraction form
    426,384/987,192 = 987,192/x
  3. Step 3: Cross multiply
    426,384x = 987,192 × 987,192
  4. Step 4: Simplify right side
    426,384x = 974,548,044,864
  5. Step 5: Solve for x
    x = 974,548,044,864/426,384
  6. Step 6: Final answer
    x = 2,285,611.20

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.