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Finding the Third Proportional to 239,738 and 516,838

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Solution

The third proportional to 239,738 and 516,838 is: 1,114,222.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,738 : 516,838 = 516,838 : x
  2. Step 2: Convert to fraction form
    239,738/516,838 = 516,838/x
  3. Step 3: Cross multiply
    239,738x = 516,838 × 516,838
  4. Step 4: Simplify right side
    239,738x = 267,121,518,244
  5. Step 5: Solve for x
    x = 267,121,518,244/239,738
  6. Step 6: Final answer
    x = 1,114,222.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.