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Finding the Third Proportional to 123,279 and 262,445

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Solution

The third proportional to 123,279 and 262,445 is: 558,711.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,279 : 262,445 = 262,445 : x
  2. Step 2: Convert to fraction form
    123,279/262,445 = 262,445/x
  3. Step 3: Cross multiply
    123,279x = 262,445 × 262,445
  4. Step 4: Simplify right side
    123,279x = 68,877,378,025
  5. Step 5: Solve for x
    x = 68,877,378,025/123,279
  6. Step 6: Final answer
    x = 558,711.36

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.