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Finding the Third Proportional to 65,907 and 102,138

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Solution

The third proportional to 65,907 and 102,138 is: 158,286.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,907 : 102,138 = 102,138 : x
  2. Step 2: Convert to fraction form
    65,907/102,138 = 102,138/x
  3. Step 3: Cross multiply
    65,907x = 102,138 × 102,138
  4. Step 4: Simplify right side
    65,907x = 10,432,171,044
  5. Step 5: Solve for x
    x = 10,432,171,044/65,907
  6. Step 6: Final answer
    x = 158,286.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.