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Finding the Third Proportional to 239,942 and 555,478

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Solution

The third proportional to 239,942 and 555,478 is: 1,285,959.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,942 : 555,478 = 555,478 : x
  2. Step 2: Convert to fraction form
    239,942/555,478 = 555,478/x
  3. Step 3: Cross multiply
    239,942x = 555,478 × 555,478
  4. Step 4: Simplify right side
    239,942x = 308,555,808,484
  5. Step 5: Solve for x
    x = 308,555,808,484/239,942
  6. Step 6: Final answer
    x = 1,285,959.98

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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.