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Finding the Third Proportional to 92,742 and 139,133

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Solution

The third proportional to 92,742 and 139,133 is: 208,729.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,742 : 139,133 = 139,133 : x
  2. Step 2: Convert to fraction form
    92,742/139,133 = 139,133/x
  3. Step 3: Cross multiply
    92,742x = 139,133 × 139,133
  4. Step 4: Simplify right side
    92,742x = 19,357,991,689
  5. Step 5: Solve for x
    x = 19,357,991,689/92,742
  6. Step 6: Final answer
    x = 208,729.50

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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.