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Finding the Third Proportional to 217,861 and 478,852

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Solution

The third proportional to 217,861 and 478,852 is: 1,052,502.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,861 : 478,852 = 478,852 : x
  2. Step 2: Convert to fraction form
    217,861/478,852 = 478,852/x
  3. Step 3: Cross multiply
    217,861x = 478,852 × 478,852
  4. Step 4: Simplify right side
    217,861x = 229,299,237,904
  5. Step 5: Solve for x
    x = 229,299,237,904/217,861
  6. Step 6: Final answer
    x = 1,052,502.46

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.