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Finding the Third Proportional to 239,946 and 555,489

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Solution

The third proportional to 239,946 and 555,489 is: 1,285,989.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,946 : 555,489 = 555,489 : x
  2. Step 2: Convert to fraction form
    239,946/555,489 = 555,489/x
  3. Step 3: Cross multiply
    239,946x = 555,489 × 555,489
  4. Step 4: Simplify right side
    239,946x = 308,568,029,121
  5. Step 5: Solve for x
    x = 308,568,029,121/239,946
  6. Step 6: Final answer
    x = 1,285,989.47

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.