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Finding the Third Proportional to 110,419 and 238,320

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Solution

The third proportional to 110,419 and 238,320 is: 514,371.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,419 : 238,320 = 238,320 : x
  2. Step 2: Convert to fraction form
    110,419/238,320 = 238,320/x
  3. Step 3: Cross multiply
    110,419x = 238,320 × 238,320
  4. Step 4: Simplify right side
    110,419x = 56,796,422,400
  5. Step 5: Solve for x
    x = 56,796,422,400/110,419
  6. Step 6: Final answer
    x = 514,371.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.