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Finding the Third Proportional to 13,117.78 and 20,461.78

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Solution

The third proportional to 13,117.78 and 20,461.78 is: 31,917.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,117.78 : 20,461.78 = 20,461.78 : x
  2. Step 2: Convert to fraction form
    13,117.78/20,461.78 = 20,461.78/x
  3. Step 3: Cross multiply
    13,117.78x = 20,461.78 × 20,461.78
  4. Step 4: Simplify right side
    13,117.78x = 418,684,491.92
  5. Step 5: Solve for x
    x = 418,684,491.92/13,117.78
  6. Step 6: Final answer
    x = 31,917.33

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.