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Finding the Third Proportional to 92,168 and 139,097

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Solution

The third proportional to 92,168 and 139,097 is: 209,920.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,168 : 139,097 = 139,097 : x
  2. Step 2: Convert to fraction form
    92,168/139,097 = 139,097/x
  3. Step 3: Cross multiply
    92,168x = 139,097 × 139,097
  4. Step 4: Simplify right side
    92,168x = 19,347,975,409
  5. Step 5: Solve for x
    x = 19,347,975,409/92,168
  6. Step 6: Final answer
    x = 209,920.75

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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.