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Finding the Third Proportional to 638,140 and 987,981

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Solution

The third proportional to 638,140 and 987,981 is: 1,529,611.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,140 : 987,981 = 987,981 : x
  2. Step 2: Convert to fraction form
    638,140/987,981 = 987,981/x
  3. Step 3: Cross multiply
    638,140x = 987,981 × 987,981
  4. Step 4: Simplify right side
    638,140x = 976,106,456,361
  5. Step 5: Solve for x
    x = 976,106,456,361/638,140
  6. Step 6: Final answer
    x = 1,529,611.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.