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Finding the Third Proportional to 217,854 and 455,661

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Solution

The third proportional to 217,854 and 455,661 is: 953,055.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,854 : 455,661 = 455,661 : x
  2. Step 2: Convert to fraction form
    217,854/455,661 = 455,661/x
  3. Step 3: Cross multiply
    217,854x = 455,661 × 455,661
  4. Step 4: Simplify right side
    217,854x = 207,626,946,921
  5. Step 5: Solve for x
    x = 207,626,946,921/217,854
  6. Step 6: Final answer
    x = 953,055.47

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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.