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Finding the Third Proportional to 111,409 and 240,573

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Solution

The third proportional to 111,409 and 240,573 is: 519,485.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,409 : 240,573 = 240,573 : x
  2. Step 2: Convert to fraction form
    111,409/240,573 = 240,573/x
  3. Step 3: Cross multiply
    111,409x = 240,573 × 240,573
  4. Step 4: Simplify right side
    111,409x = 57,875,368,329
  5. Step 5: Solve for x
    x = 57,875,368,329/111,409
  6. Step 6: Final answer
    x = 519,485.57

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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.