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Finding the Third Proportional to 117,872 and 242,656

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Solution

The third proportional to 117,872 and 242,656 is: 499,541.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,872 : 242,656 = 242,656 : x
  2. Step 2: Convert to fraction form
    117,872/242,656 = 242,656/x
  3. Step 3: Cross multiply
    117,872x = 242,656 × 242,656
  4. Step 4: Simplify right side
    117,872x = 58,881,934,336
  5. Step 5: Solve for x
    x = 58,881,934,336/117,872
  6. Step 6: Final answer
    x = 499,541.32

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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.