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Finding the Third Proportional to 122,552 and 256,330

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Solution

The third proportional to 122,552 and 256,330 is: 536,140.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,552 : 256,330 = 256,330 : x
  2. Step 2: Convert to fraction form
    122,552/256,330 = 256,330/x
  3. Step 3: Cross multiply
    122,552x = 256,330 × 256,330
  4. Step 4: Simplify right side
    122,552x = 65,705,068,900
  5. Step 5: Solve for x
    x = 65,705,068,900/122,552
  6. Step 6: Final answer
    x = 536,140.32

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.