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Finding the Third Proportional to 124,720 and 269,392

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Solution

The third proportional to 124,720 and 269,392 is: 581,879.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,720 : 269,392 = 269,392 : x
  2. Step 2: Convert to fraction form
    124,720/269,392 = 269,392/x
  3. Step 3: Cross multiply
    124,720x = 269,392 × 269,392
  4. Step 4: Simplify right side
    124,720x = 72,572,049,664
  5. Step 5: Solve for x
    x = 72,572,049,664/124,720
  6. Step 6: Final answer
    x = 581,879.81

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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.