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Finding the Third Proportional to 279,178 and 611,522

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Solution

The third proportional to 279,178 and 611,522 is: 1,339,500.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,178 : 611,522 = 611,522 : x
  2. Step 2: Convert to fraction form
    279,178/611,522 = 611,522/x
  3. Step 3: Cross multiply
    279,178x = 611,522 × 611,522
  4. Step 4: Simplify right side
    279,178x = 373,959,156,484
  5. Step 5: Solve for x
    x = 373,959,156,484/279,178
  6. Step 6: Final answer
    x = 1,339,500.81

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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.