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Finding the Third Proportional to 66,660 and 93,765

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Solution

The third proportional to 66,660 and 93,765 is: 131,891.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,660 : 93,765 = 93,765 : x
  2. Step 2: Convert to fraction form
    66,660/93,765 = 93,765/x
  3. Step 3: Cross multiply
    66,660x = 93,765 × 93,765
  4. Step 4: Simplify right side
    66,660x = 8,791,875,225
  5. Step 5: Solve for x
    x = 8,791,875,225/66,660
  6. Step 6: Final answer
    x = 131,891.32

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.