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Finding the Third Proportional to 117,908 and 242,728

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Solution

The third proportional to 117,908 and 242,728 is: 499,685.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,908 : 242,728 = 242,728 : x
  2. Step 2: Convert to fraction form
    117,908/242,728 = 242,728/x
  3. Step 3: Cross multiply
    117,908x = 242,728 × 242,728
  4. Step 4: Simplify right side
    117,908x = 58,916,881,984
  5. Step 5: Solve for x
    x = 58,916,881,984/117,908
  6. Step 6: Final answer
    x = 499,685.20

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.