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Finding the Third Proportional to 69,742 and 106,342

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Solution

The third proportional to 69,742 and 106,342 is: 162,149.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,742 : 106,342 = 106,342 : x
  2. Step 2: Convert to fraction form
    69,742/106,342 = 106,342/x
  3. Step 3: Cross multiply
    69,742x = 106,342 × 106,342
  4. Step 4: Simplify right side
    69,742x = 11,308,620,964
  5. Step 5: Solve for x
    x = 11,308,620,964/69,742
  6. Step 6: Final answer
    x = 162,149.36

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.