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Finding the Third Proportional to 30,672.75 and 66,178.50

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Solution

The third proportional to 30,672.75 and 66,178.50 is: 142,784.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,672.75 : 66,178.50 = 66,178.50 : x
  2. Step 2: Convert to fraction form
    30,672.75/66,178.50 = 66,178.50/x
  3. Step 3: Cross multiply
    30,672.75x = 66,178.50 × 66,178.50
  4. Step 4: Simplify right side
    30,672.75x = 4,379,593,862.25
  5. Step 5: Solve for x
    x = 4,379,593,862.25/30,672.75
  6. Step 6: Final answer
    x = 142,784.52

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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.