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Finding the Third Proportional to 103,760 and 234,464

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Solution

The third proportional to 103,760 and 234,464 is: 529,812.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,760 : 234,464 = 234,464 : x
  2. Step 2: Convert to fraction form
    103,760/234,464 = 234,464/x
  3. Step 3: Cross multiply
    103,760x = 234,464 × 234,464
  4. Step 4: Simplify right side
    103,760x = 54,973,367,296
  5. Step 5: Solve for x
    x = 54,973,367,296/103,760
  6. Step 6: Final answer
    x = 529,812.71

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.