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Finding the Third Proportional to 117,508 and 248,410

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Solution

The third proportional to 117,508 and 248,410 is: 525,134.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,508 : 248,410 = 248,410 : x
  2. Step 2: Convert to fraction form
    117,508/248,410 = 248,410/x
  3. Step 3: Cross multiply
    117,508x = 248,410 × 248,410
  4. Step 4: Simplify right side
    117,508x = 61,707,528,100
  5. Step 5: Solve for x
    x = 61,707,528,100/117,508
  6. Step 6: Final answer
    x = 525,134.70

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.