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Finding the Third Proportional to 266,719.50 and 579,231

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Solution

The third proportional to 266,719.50 and 579,231 is: 1,257,907.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,719.50 : 579,231 = 579,231 : x
  2. Step 2: Convert to fraction form
    266,719.50/579,231 = 579,231/x
  3. Step 3: Cross multiply
    266,719.50x = 579,231 × 579,231
  4. Step 4: Simplify right side
    266,719.50x = 335,508,551,361
  5. Step 5: Solve for x
    x = 335,508,551,361/266,719.50
  6. Step 6: Final answer
    x = 1,257,907.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.