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Finding the Third Proportional to 69,740 and 105,261

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Solution

The third proportional to 69,740 and 105,261 is: 158,874.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,740 : 105,261 = 105,261 : x
  2. Step 2: Convert to fraction form
    69,740/105,261 = 105,261/x
  3. Step 3: Cross multiply
    69,740x = 105,261 × 105,261
  4. Step 4: Simplify right side
    69,740x = 11,079,878,121
  5. Step 5: Solve for x
    x = 11,079,878,121/69,740
  6. Step 6: Final answer
    x = 158,874.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.