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Finding the Third Proportional to 70,659 and 106,140

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Solution

The third proportional to 70,659 and 106,140 is: 159,437.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,659 : 106,140 = 106,140 : x
  2. Step 2: Convert to fraction form
    70,659/106,140 = 106,140/x
  3. Step 3: Cross multiply
    70,659x = 106,140 × 106,140
  4. Step 4: Simplify right side
    70,659x = 11,265,699,600
  5. Step 5: Solve for x
    x = 11,265,699,600/70,659
  6. Step 6: Final answer
    x = 159,437.57

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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.