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Finding the Third Proportional to 239,339 and 486,526

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Solution

The third proportional to 239,339 and 486,526 is: 989,005.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,339 : 486,526 = 486,526 : x
  2. Step 2: Convert to fraction form
    239,339/486,526 = 486,526/x
  3. Step 3: Cross multiply
    239,339x = 486,526 × 486,526
  4. Step 4: Simplify right side
    239,339x = 236,707,548,676
  5. Step 5: Solve for x
    x = 236,707,548,676/239,339
  6. Step 6: Final answer
    x = 989,005.34

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.