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Finding the Third Proportional to 111,400 and 240,557

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Solution

The third proportional to 111,400 and 240,557 is: 519,458.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,400 : 240,557 = 240,557 : x
  2. Step 2: Convert to fraction form
    111,400/240,557 = 240,557/x
  3. Step 3: Cross multiply
    111,400x = 240,557 × 240,557
  4. Step 4: Simplify right side
    111,400x = 57,867,670,249
  5. Step 5: Solve for x
    x = 57,867,670,249/111,400
  6. Step 6: Final answer
    x = 519,458.44

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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.