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Finding the Third Proportional to 30,651 and 66,138

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Solution

The third proportional to 30,651 and 66,138 is: 142,711.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,651 : 66,138 = 66,138 : x
  2. Step 2: Convert to fraction form
    30,651/66,138 = 66,138/x
  3. Step 3: Cross multiply
    30,651x = 66,138 × 66,138
  4. Step 4: Simplify right side
    30,651x = 4,374,235,044
  5. Step 5: Solve for x
    x = 4,374,235,044/30,651
  6. Step 6: Final answer
    x = 142,711.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.