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Finding the Third Proportional to 20,691 and 30,160.50

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Solution

The third proportional to 20,691 and 30,160.50 is: 43,963.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,691 : 30,160.50 = 30,160.50 : x
  2. Step 2: Convert to fraction form
    20,691/30,160.50 = 30,160.50/x
  3. Step 3: Cross multiply
    20,691x = 30,160.50 × 30,160.50
  4. Step 4: Simplify right side
    20,691x = 909,655,760.25
  5. Step 5: Solve for x
    x = 909,655,760.25/20,691
  6. Step 6: Final answer
    x = 43,963.84

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.