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Finding the Third Proportional to 8,623.13 and 13,484.81

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Solution

The third proportional to 8,623.13 and 13,484.81 is: 21,087.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,623.13 : 13,484.81 = 13,484.81 : x
  2. Step 2: Convert to fraction form
    8,623.13/13,484.81 = 13,484.81/x
  3. Step 3: Cross multiply
    8,623.13x = 13,484.81 × 13,484.81
  4. Step 4: Simplify right side
    8,623.13x = 181,840,168.16
  5. Step 5: Solve for x
    x = 181,840,168.16/8,623.13
  6. Step 6: Final answer
    x = 21,087.50

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.