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Finding the Third Proportional to 216,472 and 339,666

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Solution

The third proportional to 216,472 and 339,666 is: 532,969.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,472 : 339,666 = 339,666 : x
  2. Step 2: Convert to fraction form
    216,472/339,666 = 339,666/x
  3. Step 3: Cross multiply
    216,472x = 339,666 × 339,666
  4. Step 4: Simplify right side
    216,472x = 115,372,991,556
  5. Step 5: Solve for x
    x = 115,372,991,556/216,472
  6. Step 6: Final answer
    x = 532,969.58

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.