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Finding the Third Proportional to 78,064 and 164,286

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Solution

The third proportional to 78,064 and 164,286 is: 345,740.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,064 : 164,286 = 164,286 : x
  2. Step 2: Convert to fraction form
    78,064/164,286 = 164,286/x
  3. Step 3: Cross multiply
    78,064x = 164,286 × 164,286
  4. Step 4: Simplify right side
    78,064x = 26,989,889,796
  5. Step 5: Solve for x
    x = 26,989,889,796/78,064
  6. Step 6: Final answer
    x = 345,740.54

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.