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Finding the Third Proportional to 17,490 and 38,930

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Solution

The third proportional to 17,490 and 38,930 is: 86,652.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,490 : 38,930 = 38,930 : x
  2. Step 2: Convert to fraction form
    17,490/38,930 = 38,930/x
  3. Step 3: Cross multiply
    17,490x = 38,930 × 38,930
  4. Step 4: Simplify right side
    17,490x = 1,515,544,900
  5. Step 5: Solve for x
    x = 1,515,544,900/17,490
  6. Step 6: Final answer
    x = 86,652.08

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.