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Finding the Third Proportional to 30,172.50 and 40,216.50

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Solution

The third proportional to 30,172.50 and 40,216.50 is: 53,604.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,172.50 : 40,216.50 = 40,216.50 : x
  2. Step 2: Convert to fraction form
    30,172.50/40,216.50 = 40,216.50/x
  3. Step 3: Cross multiply
    30,172.50x = 40,216.50 × 40,216.50
  4. Step 4: Simplify right side
    30,172.50x = 1,617,366,872.25
  5. Step 5: Solve for x
    x = 1,617,366,872.25/30,172.50
  6. Step 6: Final answer
    x = 53,604.01

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.