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Finding the Third Proportional to 81,040 and 168,524

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Solution

The third proportional to 81,040 and 168,524 is: 350,448.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,040 : 168,524 = 168,524 : x
  2. Step 2: Convert to fraction form
    81,040/168,524 = 168,524/x
  3. Step 3: Cross multiply
    81,040x = 168,524 × 168,524
  4. Step 4: Simplify right side
    81,040x = 28,400,338,576
  5. Step 5: Solve for x
    x = 28,400,338,576/81,040
  6. Step 6: Final answer
    x = 350,448.40

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.