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Finding the Third Proportional to 506,629 and 790,615

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Solution

The third proportional to 506,629 and 790,615 is: 1,233,786.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,629 : 790,615 = 790,615 : x
  2. Step 2: Convert to fraction form
    506,629/790,615 = 790,615/x
  3. Step 3: Cross multiply
    506,629x = 790,615 × 790,615
  4. Step 4: Simplify right side
    506,629x = 625,072,078,225
  5. Step 5: Solve for x
    x = 625,072,078,225/506,629
  6. Step 6: Final answer
    x = 1,233,786.61

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.