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Finding the Third Proportional to 110,990 and 242,257

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Solution

The third proportional to 110,990 and 242,257 is: 528,772.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,990 : 242,257 = 242,257 : x
  2. Step 2: Convert to fraction form
    110,990/242,257 = 242,257/x
  3. Step 3: Cross multiply
    110,990x = 242,257 × 242,257
  4. Step 4: Simplify right side
    110,990x = 58,688,454,049
  5. Step 5: Solve for x
    x = 58,688,454,049/110,990
  6. Step 6: Final answer
    x = 528,772.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.