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Finding the Third Proportional to 291,992 and 322,712

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Solution

The third proportional to 291,992 and 322,712 is: 356,664.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,992 : 322,712 = 322,712 : x
  2. Step 2: Convert to fraction form
    291,992/322,712 = 322,712/x
  3. Step 3: Cross multiply
    291,992x = 322,712 × 322,712
  4. Step 4: Simplify right side
    291,992x = 104,143,034,944
  5. Step 5: Solve for x
    x = 104,143,034,944/291,992
  6. Step 6: Final answer
    x = 356,664.00

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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.