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Finding the Third Proportional to 217,106 and 309,891

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Solution

The third proportional to 217,106 and 309,891 is: 442,329.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,106 : 309,891 = 309,891 : x
  2. Step 2: Convert to fraction form
    217,106/309,891 = 309,891/x
  3. Step 3: Cross multiply
    217,106x = 309,891 × 309,891
  4. Step 4: Simplify right side
    217,106x = 96,032,431,881
  5. Step 5: Solve for x
    x = 96,032,431,881/217,106
  6. Step 6: Final answer
    x = 442,329.70

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.