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Finding the Third Proportional to 8,690 and 13,109

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Solution

The third proportional to 8,690 and 13,109 is: 19,775.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,690 : 13,109 = 13,109 : x
  2. Step 2: Convert to fraction form
    8,690/13,109 = 13,109/x
  3. Step 3: Cross multiply
    8,690x = 13,109 × 13,109
  4. Step 4: Simplify right side
    8,690x = 171,845,881
  5. Step 5: Solve for x
    x = 171,845,881/8,690
  6. Step 6: Final answer
    x = 19,775.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.