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Finding the Third Proportional to 217,866 and 455,685

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Solution

The third proportional to 217,866 and 455,685 is: 953,103.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,866 : 455,685 = 455,685 : x
  2. Step 2: Convert to fraction form
    217,866/455,685 = 455,685/x
  3. Step 3: Cross multiply
    217,866x = 455,685 × 455,685
  4. Step 4: Simplify right side
    217,866x = 207,648,819,225
  5. Step 5: Solve for x
    x = 207,648,819,225/217,866
  6. Step 6: Final answer
    x = 953,103.37

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.