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Finding the Third Proportional to 512,427 and 814,260

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Solution

The third proportional to 512,427 and 814,260 is: 1,293,880.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,427 : 814,260 = 814,260 : x
  2. Step 2: Convert to fraction form
    512,427/814,260 = 814,260/x
  3. Step 3: Cross multiply
    512,427x = 814,260 × 814,260
  4. Step 4: Simplify right side
    512,427x = 663,019,347,600
  5. Step 5: Solve for x
    x = 663,019,347,600/512,427
  6. Step 6: Final answer
    x = 1,293,880.59

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.