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Finding the Third Proportional to 53,236 and 79,930

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Solution

The third proportional to 53,236 and 79,930 is: 120,009.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,236 : 79,930 = 79,930 : x
  2. Step 2: Convert to fraction form
    53,236/79,930 = 79,930/x
  3. Step 3: Cross multiply
    53,236x = 79,930 × 79,930
  4. Step 4: Simplify right side
    53,236x = 6,388,804,900
  5. Step 5: Solve for x
    x = 6,388,804,900/53,236
  6. Step 6: Final answer
    x = 120,009.11

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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.