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Finding the Third Proportional to 13,761 and 30,160.13

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Solution

The third proportional to 13,761 and 30,160.13 is: 66,102.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,761 : 30,160.13 = 30,160.13 : x
  2. Step 2: Convert to fraction form
    13,761/30,160.13 = 30,160.13/x
  3. Step 3: Cross multiply
    13,761x = 30,160.13 × 30,160.13
  4. Step 4: Simplify right side
    13,761x = 909,633,140.02
  5. Step 5: Solve for x
    x = 909,633,140.02/13,761
  6. Step 6: Final answer
    x = 66,102.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.