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Finding the Third Proportional to 130,138 and 271,572

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Solution

The third proportional to 130,138 and 271,572 is: 566,716.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,138 : 271,572 = 271,572 : x
  2. Step 2: Convert to fraction form
    130,138/271,572 = 271,572/x
  3. Step 3: Cross multiply
    130,138x = 271,572 × 271,572
  4. Step 4: Simplify right side
    130,138x = 73,751,351,184
  5. Step 5: Solve for x
    x = 73,751,351,184/130,138
  6. Step 6: Final answer
    x = 566,716.49

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.