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Finding the Third Proportional to 13,109.19 and 29,178.51

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Solution

The third proportional to 13,109.19 and 29,178.51 is: 64,945.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,109.19 : 29,178.51 = 29,178.51 : x
  2. Step 2: Convert to fraction form
    13,109.19/29,178.51 = 29,178.51/x
  3. Step 3: Cross multiply
    13,109.19x = 29,178.51 × 29,178.51
  4. Step 4: Simplify right side
    13,109.19x = 851,385,432.14
  5. Step 5: Solve for x
    x = 851,385,432.14/13,109.19
  6. Step 6: Final answer
    x = 64,945.72

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.