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Finding the Third Proportional to 217,534 and 446,780

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Solution

The third proportional to 217,534 and 446,780 is: 917,614.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,534 : 446,780 = 446,780 : x
  2. Step 2: Convert to fraction form
    217,534/446,780 = 446,780/x
  3. Step 3: Cross multiply
    217,534x = 446,780 × 446,780
  4. Step 4: Simplify right side
    217,534x = 199,612,368,400
  5. Step 5: Solve for x
    x = 199,612,368,400/217,534
  6. Step 6: Final answer
    x = 917,614.57

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.