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Finding the Third Proportional to 42,652.50 and 66,757.50

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Solution

The third proportional to 42,652.50 and 66,757.50 is: 104,485.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,652.50 : 66,757.50 = 66,757.50 : x
  2. Step 2: Convert to fraction form
    42,652.50/66,757.50 = 66,757.50/x
  3. Step 3: Cross multiply
    42,652.50x = 66,757.50 × 66,757.50
  4. Step 4: Simplify right side
    42,652.50x = 4,456,563,806.25
  5. Step 5: Solve for x
    x = 4,456,563,806.25/42,652.50
  6. Step 6: Final answer
    x = 104,485.41

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.