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Finding the Third Proportional to 218,326 and 474,509

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Solution

The third proportional to 218,326 and 474,509 is: 1,031,296.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,326 : 474,509 = 474,509 : x
  2. Step 2: Convert to fraction form
    218,326/474,509 = 474,509/x
  3. Step 3: Cross multiply
    218,326x = 474,509 × 474,509
  4. Step 4: Simplify right side
    218,326x = 225,158,791,081
  5. Step 5: Solve for x
    x = 225,158,791,081/218,326
  6. Step 6: Final answer
    x = 1,031,296.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.