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Finding the Third Proportional to 217,946 and 328,175

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Solution

The third proportional to 217,946 and 328,175 is: 494,153.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,946 : 328,175 = 328,175 : x
  2. Step 2: Convert to fraction form
    217,946/328,175 = 328,175/x
  3. Step 3: Cross multiply
    217,946x = 328,175 × 328,175
  4. Step 4: Simplify right side
    217,946x = 107,698,830,625
  5. Step 5: Solve for x
    x = 107,698,830,625/217,946
  6. Step 6: Final answer
    x = 494,153.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.