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Finding the Third Proportional to 526,310 and 814,615

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Solution

The third proportional to 526,310 and 814,615 is: 1,260,849.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,310 : 814,615 = 814,615 : x
  2. Step 2: Convert to fraction form
    526,310/814,615 = 814,615/x
  3. Step 3: Cross multiply
    526,310x = 814,615 × 814,615
  4. Step 4: Simplify right side
    526,310x = 663,597,598,225
  5. Step 5: Solve for x
    x = 663,597,598,225/526,310
  6. Step 6: Final answer
    x = 1,260,849.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.