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Finding the Third Proportional to 120,390 and 256,330

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Solution

The third proportional to 120,390 and 256,330 is: 545,768.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,390 : 256,330 = 256,330 : x
  2. Step 2: Convert to fraction form
    120,390/256,330 = 256,330/x
  3. Step 3: Cross multiply
    120,390x = 256,330 × 256,330
  4. Step 4: Simplify right side
    120,390x = 65,705,068,900
  5. Step 5: Solve for x
    x = 65,705,068,900/120,390
  6. Step 6: Final answer
    x = 545,768.49

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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.