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Finding the Third Proportional to 115,130 and 271,390

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Solution

The third proportional to 115,130 and 271,390 is: 639,733.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,130 : 271,390 = 271,390 : x
  2. Step 2: Convert to fraction form
    115,130/271,390 = 271,390/x
  3. Step 3: Cross multiply
    115,130x = 271,390 × 271,390
  4. Step 4: Simplify right side
    115,130x = 73,652,532,100
  5. Step 5: Solve for x
    x = 73,652,532,100/115,130
  6. Step 6: Final answer
    x = 639,733.62

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.