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Finding the Third Proportional to 217,970 and 333,291

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Solution

The third proportional to 217,970 and 333,291 is: 509,624.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,970 : 333,291 = 333,291 : x
  2. Step 2: Convert to fraction form
    217,970/333,291 = 333,291/x
  3. Step 3: Cross multiply
    217,970x = 333,291 × 333,291
  4. Step 4: Simplify right side
    217,970x = 111,082,890,681
  5. Step 5: Solve for x
    x = 111,082,890,681/217,970
  6. Step 6: Final answer
    x = 509,624.68

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.