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Finding the Third Proportional to 76,421 and 167,970

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Solution

The third proportional to 76,421 and 167,970 is: 369,190.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,421 : 167,970 = 167,970 : x
  2. Step 2: Convert to fraction form
    76,421/167,970 = 167,970/x
  3. Step 3: Cross multiply
    76,421x = 167,970 × 167,970
  4. Step 4: Simplify right side
    76,421x = 28,213,920,900
  5. Step 5: Solve for x
    x = 28,213,920,900/76,421
  6. Step 6: Final answer
    x = 369,190.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.