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Finding the Third Proportional to 239,916 and 516,696

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Solution

The third proportional to 239,916 and 516,696 is: 1,112,784.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,916 : 516,696 = 516,696 : x
  2. Step 2: Convert to fraction form
    239,916/516,696 = 516,696/x
  3. Step 3: Cross multiply
    239,916x = 516,696 × 516,696
  4. Step 4: Simplify right side
    239,916x = 266,974,756,416
  5. Step 5: Solve for x
    x = 266,974,756,416/239,916
  6. Step 6: Final answer
    x = 1,112,784.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.