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Finding the Third Proportional to 66,116 and 89,937

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Solution

The third proportional to 66,116 and 89,937 is: 122,340.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,116 : 89,937 = 89,937 : x
  2. Step 2: Convert to fraction form
    66,116/89,937 = 89,937/x
  3. Step 3: Cross multiply
    66,116x = 89,937 × 89,937
  4. Step 4: Simplify right side
    66,116x = 8,088,663,969
  5. Step 5: Solve for x
    x = 8,088,663,969/66,116
  6. Step 6: Final answer
    x = 122,340.49

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.