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Finding the Third Proportional to 8,427.64 and 12,987.45

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Solution

The third proportional to 8,427.64 and 12,987.45 is: 20,014.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,427.64 : 12,987.45 = 12,987.45 : x
  2. Step 2: Convert to fraction form
    8,427.64/12,987.45 = 12,987.45/x
  3. Step 3: Cross multiply
    8,427.64x = 12,987.45 × 12,987.45
  4. Step 4: Simplify right side
    8,427.64x = 168,673,811.84
  5. Step 5: Solve for x
    x = 168,673,811.84/8,427.64
  6. Step 6: Final answer
    x = 20,014.36

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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.