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Finding the Third Proportional to 217,656 and 461,424

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Solution

The third proportional to 217,656 and 461,424 is: 978,204.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,656 : 461,424 = 461,424 : x
  2. Step 2: Convert to fraction form
    217,656/461,424 = 461,424/x
  3. Step 3: Cross multiply
    217,656x = 461,424 × 461,424
  4. Step 4: Simplify right side
    217,656x = 212,912,107,776
  5. Step 5: Solve for x
    x = 212,912,107,776/217,656
  6. Step 6: Final answer
    x = 978,204.63

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.