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Finding the Third Proportional to 30,219.50 and 65,815.50

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Solution

The third proportional to 30,219.50 and 65,815.50 is: 143,340.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,219.50 : 65,815.50 = 65,815.50 : x
  2. Step 2: Convert to fraction form
    30,219.50/65,815.50 = 65,815.50/x
  3. Step 3: Cross multiply
    30,219.50x = 65,815.50 × 65,815.50
  4. Step 4: Simplify right side
    30,219.50x = 4,331,680,040.25
  5. Step 5: Solve for x
    x = 4,331,680,040.25/30,219.50
  6. Step 6: Final answer
    x = 143,340.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.