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Finding the Third Proportional to 13,586.25 and 20,885.63

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Solution

The third proportional to 13,586.25 and 20,885.63 is: 32,106.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,586.25 : 20,885.63 = 20,885.63 : x
  2. Step 2: Convert to fraction form
    13,586.25/20,885.63 = 20,885.63/x
  3. Step 3: Cross multiply
    13,586.25x = 20,885.63 × 20,885.63
  4. Step 4: Simplify right side
    13,586.25x = 436,209,331.64
  5. Step 5: Solve for x
    x = 436,209,331.64/13,586.25
  6. Step 6: Final answer
    x = 32,106.68

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.