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Finding the Third Proportional to 266,724 and 579,239

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Solution

The third proportional to 266,724 and 579,239 is: 1,257,921.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,724 : 579,239 = 579,239 : x
  2. Step 2: Convert to fraction form
    266,724/579,239 = 579,239/x
  3. Step 3: Cross multiply
    266,724x = 579,239 × 579,239
  4. Step 4: Simplify right side
    266,724x = 335,517,819,121
  5. Step 5: Solve for x
    x = 335,517,819,121/266,724
  6. Step 6: Final answer
    x = 1,257,921.37

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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.