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Finding the Third Proportional to 10,005.19 and 13,346.44

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Solution

The third proportional to 10,005.19 and 13,346.44 is: 17,803.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,005.19 : 13,346.44 = 13,346.44 : x
  2. Step 2: Convert to fraction form
    10,005.19/13,346.44 = 13,346.44/x
  3. Step 3: Cross multiply
    10,005.19x = 13,346.44 × 13,346.44
  4. Step 4: Simplify right side
    10,005.19x = 178,127,393.94
  5. Step 5: Solve for x
    x = 178,127,393.94/10,005.19
  6. Step 6: Final answer
    x = 17,803.50

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.