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Finding the Third Proportional to 113,361.50 and 171,318

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Solution

The third proportional to 113,361.50 and 171,318 is: 258,904.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,361.50 : 171,318 = 171,318 : x
  2. Step 2: Convert to fraction form
    113,361.50/171,318 = 171,318/x
  3. Step 3: Cross multiply
    113,361.50x = 171,318 × 171,318
  4. Step 4: Simplify right side
    113,361.50x = 29,349,857,124
  5. Step 5: Solve for x
    x = 29,349,857,124/113,361.50
  6. Step 6: Final answer
    x = 258,904.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.