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Finding the Third Proportional to 124,812 and 269,305

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Solution

The third proportional to 124,812 and 269,305 is: 581,075.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,812 : 269,305 = 269,305 : x
  2. Step 2: Convert to fraction form
    124,812/269,305 = 269,305/x
  3. Step 3: Cross multiply
    124,812x = 269,305 × 269,305
  4. Step 4: Simplify right side
    124,812x = 72,525,183,025
  5. Step 5: Solve for x
    x = 72,525,183,025/124,812
  6. Step 6: Final answer
    x = 581,075.40

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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.