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Finding the Third Proportional to 111,511 and 240,518

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Solution

The third proportional to 111,511 and 240,518 is: 518,773.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,511 : 240,518 = 240,518 : x
  2. Step 2: Convert to fraction form
    111,511/240,518 = 240,518/x
  3. Step 3: Cross multiply
    111,511x = 240,518 × 240,518
  4. Step 4: Simplify right side
    111,511x = 57,848,908,324
  5. Step 5: Solve for x
    x = 57,848,908,324/111,511
  6. Step 6: Final answer
    x = 518,773.11

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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.