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Finding the Third Proportional to 13,009.78 and 14,376.66

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Solution

The third proportional to 13,009.78 and 14,376.66 is: 15,887.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,009.78 : 14,376.66 = 14,376.66 : x
  2. Step 2: Convert to fraction form
    13,009.78/14,376.66 = 14,376.66/x
  3. Step 3: Cross multiply
    13,009.78x = 14,376.66 × 14,376.66
  4. Step 4: Simplify right side
    13,009.78x = 206,688,244.93
  5. Step 5: Solve for x
    x = 206,688,244.93/13,009.78
  6. Step 6: Final answer
    x = 15,887.14

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.