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Finding the Third Proportional to 120,388 and 256,326

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Solution

The third proportional to 120,388 and 256,326 is: 545,760.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,388 : 256,326 = 256,326 : x
  2. Step 2: Convert to fraction form
    120,388/256,326 = 256,326/x
  3. Step 3: Cross multiply
    120,388x = 256,326 × 256,326
  4. Step 4: Simplify right side
    120,388x = 65,703,018,276
  5. Step 5: Solve for x
    x = 65,703,018,276/120,388
  6. Step 6: Final answer
    x = 545,760.53

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.