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Finding the Third Proportional to 12,579.05 and 16,347.45

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Solution

The third proportional to 12,579.05 and 16,347.45 is: 21,244.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,579.05 : 16,347.45 = 16,347.45 : x
  2. Step 2: Convert to fraction form
    12,579.05/16,347.45 = 16,347.45/x
  3. Step 3: Cross multiply
    12,579.05x = 16,347.45 × 16,347.45
  4. Step 4: Simplify right side
    12,579.05x = 267,238,968.25
  5. Step 5: Solve for x
    x = 267,238,968.25/12,579.05
  6. Step 6: Final answer
    x = 21,244.77

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.