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Finding the Third Proportional to 112,439 and 240,817

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Solution

The third proportional to 112,439 and 240,817 is: 515,771.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,439 : 240,817 = 240,817 : x
  2. Step 2: Convert to fraction form
    112,439/240,817 = 240,817/x
  3. Step 3: Cross multiply
    112,439x = 240,817 × 240,817
  4. Step 4: Simplify right side
    112,439x = 57,992,827,489
  5. Step 5: Solve for x
    x = 57,992,827,489/112,439
  6. Step 6: Final answer
    x = 515,771.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.