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Finding the Third Proportional to 74,421 and 111,645

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Solution

The third proportional to 74,421 and 111,645 is: 167,487.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,421 : 111,645 = 111,645 : x
  2. Step 2: Convert to fraction form
    74,421/111,645 = 111,645/x
  3. Step 3: Cross multiply
    74,421x = 111,645 × 111,645
  4. Step 4: Simplify right side
    74,421x = 12,464,606,025
  5. Step 5: Solve for x
    x = 12,464,606,025/74,421
  6. Step 6: Final answer
    x = 167,487.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.