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Finding the Third Proportional to 130,211 and 282,571

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Solution

The third proportional to 130,211 and 282,571 is: 613,207.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,211 : 282,571 = 282,571 : x
  2. Step 2: Convert to fraction form
    130,211/282,571 = 282,571/x
  3. Step 3: Cross multiply
    130,211x = 282,571 × 282,571
  4. Step 4: Simplify right side
    130,211x = 79,846,370,041
  5. Step 5: Solve for x
    x = 79,846,370,041/130,211
  6. Step 6: Final answer
    x = 613,207.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.