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Finding the Third Proportional to 30,721.50 and 65,043

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Solution

The third proportional to 30,721.50 and 65,043 is: 137,707.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,721.50 : 65,043 = 65,043 : x
  2. Step 2: Convert to fraction form
    30,721.50/65,043 = 65,043/x
  3. Step 3: Cross multiply
    30,721.50x = 65,043 × 65,043
  4. Step 4: Simplify right side
    30,721.50x = 4,230,591,849
  5. Step 5: Solve for x
    x = 4,230,591,849/30,721.50
  6. Step 6: Final answer
    x = 137,707.85

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.