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Finding the Third Proportional to 513,140 and 764,238

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Solution

The third proportional to 513,140 and 764,238 is: 1,138,207.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,140 : 764,238 = 764,238 : x
  2. Step 2: Convert to fraction form
    513,140/764,238 = 764,238/x
  3. Step 3: Cross multiply
    513,140x = 764,238 × 764,238
  4. Step 4: Simplify right side
    513,140x = 584,059,720,644
  5. Step 5: Solve for x
    x = 584,059,720,644/513,140
  6. Step 6: Final answer
    x = 1,138,207.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.