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Finding the Third Proportional to 239,624 and 262,664

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Solution

The third proportional to 239,624 and 262,664 is: 287,919.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,624 : 262,664 = 262,664 : x
  2. Step 2: Convert to fraction form
    239,624/262,664 = 262,664/x
  3. Step 3: Cross multiply
    239,624x = 262,664 × 262,664
  4. Step 4: Simplify right side
    239,624x = 68,992,376,896
  5. Step 5: Solve for x
    x = 68,992,376,896/239,624
  6. Step 6: Final answer
    x = 287,919.31

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.