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Finding the Third Proportional to 279,108 and 611,424

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Solution

The third proportional to 279,108 and 611,424 is: 1,339,407.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,108 : 611,424 = 611,424 : x
  2. Step 2: Convert to fraction form
    279,108/611,424 = 611,424/x
  3. Step 3: Cross multiply
    279,108x = 611,424 × 611,424
  4. Step 4: Simplify right side
    279,108x = 373,839,307,776
  5. Step 5: Solve for x
    x = 373,839,307,776/279,108
  6. Step 6: Final answer
    x = 1,339,407.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.