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Finding the Third Proportional to 66,955 and 91,810

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Solution

The third proportional to 66,955 and 91,810 is: 125,891.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,955 : 91,810 = 91,810 : x
  2. Step 2: Convert to fraction form
    66,955/91,810 = 91,810/x
  3. Step 3: Cross multiply
    66,955x = 91,810 × 91,810
  4. Step 4: Simplify right side
    66,955x = 8,429,076,100
  5. Step 5: Solve for x
    x = 8,429,076,100/66,955
  6. Step 6: Final answer
    x = 125,891.66

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.