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Finding the Third Proportional to 73,230 and 117,215

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Solution

The third proportional to 73,230 and 117,215 is: 187,619.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,230 : 117,215 = 117,215 : x
  2. Step 2: Convert to fraction form
    73,230/117,215 = 117,215/x
  3. Step 3: Cross multiply
    73,230x = 117,215 × 117,215
  4. Step 4: Simplify right side
    73,230x = 13,739,356,225
  5. Step 5: Solve for x
    x = 13,739,356,225/73,230
  6. Step 6: Final answer
    x = 187,619.23

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.