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Finding the Third Proportional to 124,219 and 268,279

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Solution

The third proportional to 124,219 and 268,279 is: 579,409.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,219 : 268,279 = 268,279 : x
  2. Step 2: Convert to fraction form
    124,219/268,279 = 268,279/x
  3. Step 3: Cross multiply
    124,219x = 268,279 × 268,279
  4. Step 4: Simplify right side
    124,219x = 71,973,621,841
  5. Step 5: Solve for x
    x = 71,973,621,841/124,219
  6. Step 6: Final answer
    x = 579,409.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.