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Finding the Third Proportional to 45,172 and 66,138

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Solution

The third proportional to 45,172 and 66,138 is: 96,835.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,172 : 66,138 = 66,138 : x
  2. Step 2: Convert to fraction form
    45,172/66,138 = 66,138/x
  3. Step 3: Cross multiply
    45,172x = 66,138 × 66,138
  4. Step 4: Simplify right side
    45,172x = 4,374,235,044
  5. Step 5: Solve for x
    x = 4,374,235,044/45,172
  6. Step 6: Final answer
    x = 96,835.10

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.