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Finding the Third Proportional to 74,865 and 164,085

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Solution

The third proportional to 74,865 and 164,085 is: 359,632.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,865 : 164,085 = 164,085 : x
  2. Step 2: Convert to fraction form
    74,865/164,085 = 164,085/x
  3. Step 3: Cross multiply
    74,865x = 164,085 × 164,085
  4. Step 4: Simplify right side
    74,865x = 26,923,887,225
  5. Step 5: Solve for x
    x = 26,923,887,225/74,865
  6. Step 6: Final answer
    x = 359,632.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.