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Finding the Third Proportional to 217,326 and 345,789

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Solution

The third proportional to 217,326 and 345,789 is: 550,187.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,326 : 345,789 = 345,789 : x
  2. Step 2: Convert to fraction form
    217,326/345,789 = 345,789/x
  3. Step 3: Cross multiply
    217,326x = 345,789 × 345,789
  4. Step 4: Simplify right side
    217,326x = 119,570,032,521
  5. Step 5: Solve for x
    x = 119,570,032,521/217,326
  6. Step 6: Final answer
    x = 550,187.43

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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.