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Finding the Third Proportional to 117,880 and 242,564

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Solution

The third proportional to 117,880 and 242,564 is: 499,128.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,880 : 242,564 = 242,564 : x
  2. Step 2: Convert to fraction form
    117,880/242,564 = 242,564/x
  3. Step 3: Cross multiply
    117,880x = 242,564 × 242,564
  4. Step 4: Simplify right side
    117,880x = 58,837,294,096
  5. Step 5: Solve for x
    x = 58,837,294,096/117,880
  6. Step 6: Final answer
    x = 499,128.72

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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.