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Finding the Third Proportional to 66,116 and 102,090

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Solution

The third proportional to 66,116 and 102,090 is: 157,637.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,116 : 102,090 = 102,090 : x
  2. Step 2: Convert to fraction form
    66,116/102,090 = 102,090/x
  3. Step 3: Cross multiply
    66,116x = 102,090 × 102,090
  4. Step 4: Simplify right side
    66,116x = 10,422,368,100
  5. Step 5: Solve for x
    x = 10,422,368,100/66,116
  6. Step 6: Final answer
    x = 157,637.61

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.