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Finding the Third Proportional to 91,411 and 138,088

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Solution

The third proportional to 91,411 and 138,088 is: 208,599.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,411 : 138,088 = 138,088 : x
  2. Step 2: Convert to fraction form
    91,411/138,088 = 138,088/x
  3. Step 3: Cross multiply
    91,411x = 138,088 × 138,088
  4. Step 4: Simplify right side
    91,411x = 19,068,295,744
  5. Step 5: Solve for x
    x = 19,068,295,744/91,411
  6. Step 6: Final answer
    x = 208,599.57

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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.