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Finding the Third Proportional to 120,378 and 256,309

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Solution

The third proportional to 120,378 and 256,309 is: 545,733.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,378 : 256,309 = 256,309 : x
  2. Step 2: Convert to fraction form
    120,378/256,309 = 256,309/x
  3. Step 3: Cross multiply
    120,378x = 256,309 × 256,309
  4. Step 4: Simplify right side
    120,378x = 65,694,303,481
  5. Step 5: Solve for x
    x = 65,694,303,481/120,378
  6. Step 6: Final answer
    x = 545,733.47

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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.