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Finding the Third Proportional to 8,613.84 and 13,820.63

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Solution

The third proportional to 8,613.84 and 13,820.63 is: 22,174.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,613.84 : 13,820.63 = 13,820.63 : x
  2. Step 2: Convert to fraction form
    8,613.84/13,820.63 = 13,820.63/x
  3. Step 3: Cross multiply
    8,613.84x = 13,820.63 × 13,820.63
  4. Step 4: Simplify right side
    8,613.84x = 191,009,675.39
  5. Step 5: Solve for x
    x = 191,009,675.39/8,613.84
  6. Step 6: Final answer
    x = 22,174.73

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.