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Finding the Third Proportional to 216,347 and 322,720

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Solution

The third proportional to 216,347 and 322,720 is: 481,394.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,347 : 322,720 = 322,720 : x
  2. Step 2: Convert to fraction form
    216,347/322,720 = 322,720/x
  3. Step 3: Cross multiply
    216,347x = 322,720 × 322,720
  4. Step 4: Simplify right side
    216,347x = 104,148,198,400
  5. Step 5: Solve for x
    x = 104,148,198,400/216,347
  6. Step 6: Final answer
    x = 481,394.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.