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Finding the Third Proportional to 8,642.64 and 13,563.39

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Solution

The third proportional to 8,642.64 and 13,563.39 is: 21,285.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,642.64 : 13,563.39 = 13,563.39 : x
  2. Step 2: Convert to fraction form
    8,642.64/13,563.39 = 13,563.39/x
  3. Step 3: Cross multiply
    8,642.64x = 13,563.39 × 13,563.39
  4. Step 4: Simplify right side
    8,642.64x = 183,965,459.28
  5. Step 5: Solve for x
    x = 183,965,459.28/8,642.64
  6. Step 6: Final answer
    x = 21,285.80

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.