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Finding the Third Proportional to 218,604 and 515,838

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Solution

The third proportional to 218,604 and 515,838 is: 1,217,218.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,604 : 515,838 = 515,838 : x
  2. Step 2: Convert to fraction form
    218,604/515,838 = 515,838/x
  3. Step 3: Cross multiply
    218,604x = 515,838 × 515,838
  4. Step 4: Simplify right side
    218,604x = 266,088,842,244
  5. Step 5: Solve for x
    x = 266,088,842,244/218,604
  6. Step 6: Final answer
    x = 1,217,218.54

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.