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Finding the Third Proportional to 91,420 and 138,104

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Solution

The third proportional to 91,420 and 138,104 is: 208,627.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,420 : 138,104 = 138,104 : x
  2. Step 2: Convert to fraction form
    91,420/138,104 = 138,104/x
  3. Step 3: Cross multiply
    91,420x = 138,104 × 138,104
  4. Step 4: Simplify right side
    91,420x = 19,072,714,816
  5. Step 5: Solve for x
    x = 19,072,714,816/91,420
  6. Step 6: Final answer
    x = 208,627.38

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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.