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Finding the Third Proportional to 30,172.50 and 65,200.50

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Solution

The third proportional to 30,172.50 and 65,200.50 is: 140,893.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,172.50 : 65,200.50 = 65,200.50 : x
  2. Step 2: Convert to fraction form
    30,172.50/65,200.50 = 65,200.50/x
  3. Step 3: Cross multiply
    30,172.50x = 65,200.50 × 65,200.50
  4. Step 4: Simplify right side
    30,172.50x = 4,251,105,200.25
  5. Step 5: Solve for x
    x = 4,251,105,200.25/30,172.50
  6. Step 6: Final answer
    x = 140,893.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.