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Finding the Third Proportional to 66,690 and 93,791

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Solution

The third proportional to 66,690 and 93,791 is: 131,905.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,690 : 93,791 = 93,791 : x
  2. Step 2: Convert to fraction form
    66,690/93,791 = 93,791/x
  3. Step 3: Cross multiply
    66,690x = 93,791 × 93,791
  4. Step 4: Simplify right side
    66,690x = 8,796,751,681
  5. Step 5: Solve for x
    x = 8,796,751,681/66,690
  6. Step 6: Final answer
    x = 131,905.11

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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.