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Finding the Third Proportional to 81,448 and 124,530

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Solution

The third proportional to 81,448 and 124,530 is: 190,400.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,448 : 124,530 = 124,530 : x
  2. Step 2: Convert to fraction form
    81,448/124,530 = 124,530/x
  3. Step 3: Cross multiply
    81,448x = 124,530 × 124,530
  4. Step 4: Simplify right side
    81,448x = 15,507,720,900
  5. Step 5: Solve for x
    x = 15,507,720,900/81,448
  6. Step 6: Final answer
    x = 190,400.27

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.