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Finding the Third Proportional to 91,994 and 138,447

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Solution

The third proportional to 91,994 and 138,447 is: 208,356.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,994 : 138,447 = 138,447 : x
  2. Step 2: Convert to fraction form
    91,994/138,447 = 138,447/x
  3. Step 3: Cross multiply
    91,994x = 138,447 × 138,447
  4. Step 4: Simplify right side
    91,994x = 19,167,571,809
  5. Step 5: Solve for x
    x = 19,167,571,809/91,994
  6. Step 6: Final answer
    x = 208,356.76

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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.