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Finding the Third Proportional to 8,717.03 and 13,138.02

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Solution

The third proportional to 8,717.03 and 13,138.02 is: 19,801.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,717.03 : 13,138.02 = 13,138.02 : x
  2. Step 2: Convert to fraction form
    8,717.03/13,138.02 = 13,138.02/x
  3. Step 3: Cross multiply
    8,717.03x = 13,138.02 × 13,138.02
  4. Step 4: Simplify right side
    8,717.03x = 172,607,518.71
  5. Step 5: Solve for x
    x = 172,607,518.71/8,717.03
  6. Step 6: Final answer
    x = 19,801.18

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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.