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Finding the Third Proportional to 216,348 and 322,721

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Solution

The third proportional to 216,348 and 322,721 is: 481,394.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,348 : 322,721 = 322,721 : x
  2. Step 2: Convert to fraction form
    216,348/322,721 = 322,721/x
  3. Step 3: Cross multiply
    216,348x = 322,721 × 322,721
  4. Step 4: Simplify right side
    216,348x = 104,148,843,841
  5. Step 5: Solve for x
    x = 104,148,843,841/216,348
  6. Step 6: Final answer
    x = 481,394.99

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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.