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Finding the Third Proportional to 68,410 and 102,343

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Solution

The third proportional to 68,410 and 102,343 is: 153,107.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,410 : 102,343 = 102,343 : x
  2. Step 2: Convert to fraction form
    68,410/102,343 = 102,343/x
  3. Step 3: Cross multiply
    68,410x = 102,343 × 102,343
  4. Step 4: Simplify right side
    68,410x = 10,474,089,649
  5. Step 5: Solve for x
    x = 10,474,089,649/68,410
  6. Step 6: Final answer
    x = 153,107.58

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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.