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Finding the Third Proportional to 135,380 and 312,018

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Solution

The third proportional to 135,380 and 312,018 is: 719,125.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,380 : 312,018 = 312,018 : x
  2. Step 2: Convert to fraction form
    135,380/312,018 = 312,018/x
  3. Step 3: Cross multiply
    135,380x = 312,018 × 312,018
  4. Step 4: Simplify right side
    135,380x = 97,355,232,324
  5. Step 5: Solve for x
    x = 97,355,232,324/135,380
  6. Step 6: Final answer
    x = 719,125.66

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.