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Finding the Third Proportional to 115,440 and 240,116

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Solution

The third proportional to 115,440 and 240,116 is: 499,442.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,440 : 240,116 = 240,116 : x
  2. Step 2: Convert to fraction form
    115,440/240,116 = 240,116/x
  3. Step 3: Cross multiply
    115,440x = 240,116 × 240,116
  4. Step 4: Simplify right side
    115,440x = 57,655,693,456
  5. Step 5: Solve for x
    x = 57,655,693,456/115,440
  6. Step 6: Final answer
    x = 499,442.94

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.