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Finding the Third Proportional to 187,509 and 381,981

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Solution

The third proportional to 187,509 and 381,981 is: 778,146.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,509 : 381,981 = 381,981 : x
  2. Step 2: Convert to fraction form
    187,509/381,981 = 381,981/x
  3. Step 3: Cross multiply
    187,509x = 381,981 × 381,981
  4. Step 4: Simplify right side
    187,509x = 145,909,484,361
  5. Step 5: Solve for x
    x = 145,909,484,361/187,509
  6. Step 6: Final answer
    x = 778,146.57

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.