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Finding the Third Proportional to 17,770 and 20,929

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Solution

The third proportional to 17,770 and 20,929 is: 24,649.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,770 : 20,929 = 20,929 : x
  2. Step 2: Convert to fraction form
    17,770/20,929 = 20,929/x
  3. Step 3: Cross multiply
    17,770x = 20,929 × 20,929
  4. Step 4: Simplify right side
    17,770x = 438,023,041
  5. Step 5: Solve for x
    x = 438,023,041/17,770
  6. Step 6: Final answer
    x = 24,649.58

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.