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Finding the Third Proportional to 512,140 and 775,286

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Solution

The third proportional to 512,140 and 775,286 is: 1,173,640.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,140 : 775,286 = 775,286 : x
  2. Step 2: Convert to fraction form
    512,140/775,286 = 775,286/x
  3. Step 3: Cross multiply
    512,140x = 775,286 × 775,286
  4. Step 4: Simplify right side
    512,140x = 601,068,381,796
  5. Step 5: Solve for x
    x = 601,068,381,796/512,140
  6. Step 6: Final answer
    x = 1,173,640.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.