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Finding the Third Proportional to 115,122 and 271,371

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Solution

The third proportional to 115,122 and 271,371 is: 639,688.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,122 : 271,371 = 271,371 : x
  2. Step 2: Convert to fraction form
    115,122/271,371 = 271,371/x
  3. Step 3: Cross multiply
    115,122x = 271,371 × 271,371
  4. Step 4: Simplify right side
    115,122x = 73,642,219,641
  5. Step 5: Solve for x
    x = 73,642,219,641/115,122
  6. Step 6: Final answer
    x = 639,688.50

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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.