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Finding the Third Proportional to 130,978 and 271,335

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Solution

The third proportional to 130,978 and 271,335 is: 562,099.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,978 : 271,335 = 271,335 : x
  2. Step 2: Convert to fraction form
    130,978/271,335 = 271,335/x
  3. Step 3: Cross multiply
    130,978x = 271,335 × 271,335
  4. Step 4: Simplify right side
    130,978x = 73,622,682,225
  5. Step 5: Solve for x
    x = 73,622,682,225/130,978
  6. Step 6: Final answer
    x = 562,099.61

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.