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Finding the Third Proportional to 117,240 and 238,624

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Solution

The third proportional to 117,240 and 238,624 is: 485,682.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,240 : 238,624 = 238,624 : x
  2. Step 2: Convert to fraction form
    117,240/238,624 = 238,624/x
  3. Step 3: Cross multiply
    117,240x = 238,624 × 238,624
  4. Step 4: Simplify right side
    117,240x = 56,941,413,376
  5. Step 5: Solve for x
    x = 56,941,413,376/117,240
  6. Step 6: Final answer
    x = 485,682.48

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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.