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Finding the Third Proportional to 70,870 and 106,129

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Solution

The third proportional to 70,870 and 106,129 is: 158,929.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,870 : 106,129 = 106,129 : x
  2. Step 2: Convert to fraction form
    70,870/106,129 = 106,129/x
  3. Step 3: Cross multiply
    70,870x = 106,129 × 106,129
  4. Step 4: Simplify right side
    70,870x = 11,263,364,641
  5. Step 5: Solve for x
    x = 11,263,364,641/70,870
  6. Step 6: Final answer
    x = 158,929.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.