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Finding the Third Proportional to 82,990 and 119,301

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Solution

The third proportional to 82,990 and 119,301 is: 171,499.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,990 : 119,301 = 119,301 : x
  2. Step 2: Convert to fraction form
    82,990/119,301 = 119,301/x
  3. Step 3: Cross multiply
    82,990x = 119,301 × 119,301
  4. Step 4: Simplify right side
    82,990x = 14,232,728,601
  5. Step 5: Solve for x
    x = 14,232,728,601/82,990
  6. Step 6: Final answer
    x = 171,499.32

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.