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Finding the Third Proportional to 54,449 and 115,507

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Solution

The third proportional to 54,449 and 115,507 is: 245,034.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,449 : 115,507 = 115,507 : x
  2. Step 2: Convert to fraction form
    54,449/115,507 = 115,507/x
  3. Step 3: Cross multiply
    54,449x = 115,507 × 115,507
  4. Step 4: Simplify right side
    54,449x = 13,341,867,049
  5. Step 5: Solve for x
    x = 13,341,867,049/54,449
  6. Step 6: Final answer
    x = 245,034.20

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.