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Finding the Third Proportional to 215,280 and 322,992

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Solution

The third proportional to 215,280 and 322,992 is: 484,596.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,280 : 322,992 = 322,992 : x
  2. Step 2: Convert to fraction form
    215,280/322,992 = 322,992/x
  3. Step 3: Cross multiply
    215,280x = 322,992 × 322,992
  4. Step 4: Simplify right side
    215,280x = 104,323,832,064
  5. Step 5: Solve for x
    x = 104,323,832,064/215,280
  6. Step 6: Final answer
    x = 484,596.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.