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Finding the Third Proportional to 73,890 and 117,021

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Solution

The third proportional to 73,890 and 117,021 is: 185,328.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,890 : 117,021 = 117,021 : x
  2. Step 2: Convert to fraction form
    73,890/117,021 = 117,021/x
  3. Step 3: Cross multiply
    73,890x = 117,021 × 117,021
  4. Step 4: Simplify right side
    73,890x = 13,693,914,441
  5. Step 5: Solve for x
    x = 13,693,914,441/73,890
  6. Step 6: Final answer
    x = 185,328.39

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.