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Finding the Third Proportional to 291,998 and 322,718

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Solution

The third proportional to 291,998 and 322,718 is: 356,669.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,998 : 322,718 = 322,718 : x
  2. Step 2: Convert to fraction form
    291,998/322,718 = 322,718/x
  3. Step 3: Cross multiply
    291,998x = 322,718 × 322,718
  4. Step 4: Simplify right side
    291,998x = 104,146,907,524
  5. Step 5: Solve for x
    x = 104,146,907,524/291,998
  6. Step 6: Final answer
    x = 356,669.93

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.