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Finding the Third Proportional to 216,351 and 322,731

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Solution

The third proportional to 216,351 and 322,731 is: 481,418.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,351 : 322,731 = 322,731 : x
  2. Step 2: Convert to fraction form
    216,351/322,731 = 322,731/x
  3. Step 3: Cross multiply
    216,351x = 322,731 × 322,731
  4. Step 4: Simplify right side
    216,351x = 104,155,298,361
  5. Step 5: Solve for x
    x = 104,155,298,361/216,351
  6. Step 6: Final answer
    x = 481,418.15

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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.