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Finding the Third Proportional to 30,172.50 and 66,298.50

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Solution

The third proportional to 30,172.50 and 66,298.50 is: 145,678.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,172.50 : 66,298.50 = 66,298.50 : x
  2. Step 2: Convert to fraction form
    30,172.50/66,298.50 = 66,298.50/x
  3. Step 3: Cross multiply
    30,172.50x = 66,298.50 × 66,298.50
  4. Step 4: Simplify right side
    30,172.50x = 4,395,491,102.25
  5. Step 5: Solve for x
    x = 4,395,491,102.25/30,172.50
  6. Step 6: Final answer
    x = 145,678.72

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.