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Finding the Third Proportional to 217,417 and 343,635

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Solution

The third proportional to 217,417 and 343,635 is: 543,126.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,417 : 343,635 = 343,635 : x
  2. Step 2: Convert to fraction form
    217,417/343,635 = 343,635/x
  3. Step 3: Cross multiply
    217,417x = 343,635 × 343,635
  4. Step 4: Simplify right side
    217,417x = 118,085,013,225
  5. Step 5: Solve for x
    x = 118,085,013,225/217,417
  6. Step 6: Final answer
    x = 543,126.86

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.