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Finding the Third Proportional to 111,271 and 247,420

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Solution

The third proportional to 111,271 and 247,420 is: 550,158.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,271 : 247,420 = 247,420 : x
  2. Step 2: Convert to fraction form
    111,271/247,420 = 247,420/x
  3. Step 3: Cross multiply
    111,271x = 247,420 × 247,420
  4. Step 4: Simplify right side
    111,271x = 61,216,656,400
  5. Step 5: Solve for x
    x = 61,216,656,400/111,271
  6. Step 6: Final answer
    x = 550,158.23

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.