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Finding the Third Proportional to 217,307 and 345,777

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Solution

The third proportional to 217,307 and 345,777 is: 550,197.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,307 : 345,777 = 345,777 : x
  2. Step 2: Convert to fraction form
    217,307/345,777 = 345,777/x
  3. Step 3: Cross multiply
    217,307x = 345,777 × 345,777
  4. Step 4: Simplify right side
    217,307x = 119,561,733,729
  5. Step 5: Solve for x
    x = 119,561,733,729/217,307
  6. Step 6: Final answer
    x = 550,197.34

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.