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Finding the Third Proportional to 6,053 and 13,111

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Solution

The third proportional to 6,053 and 13,111 is: 28,398.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,053 : 13,111 = 13,111 : x
  2. Step 2: Convert to fraction form
    6,053/13,111 = 13,111/x
  3. Step 3: Cross multiply
    6,053x = 13,111 × 13,111
  4. Step 4: Simplify right side
    6,053x = 171,898,321
  5. Step 5: Solve for x
    x = 171,898,321/6,053
  6. Step 6: Final answer
    x = 28,398.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.