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Finding the Third Proportional to 130,768 and 283,208

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Solution

The third proportional to 130,768 and 283,208 is: 613,351.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,768 : 283,208 = 283,208 : x
  2. Step 2: Convert to fraction form
    130,768/283,208 = 283,208/x
  3. Step 3: Cross multiply
    130,768x = 283,208 × 283,208
  4. Step 4: Simplify right side
    130,768x = 80,206,771,264
  5. Step 5: Solve for x
    x = 80,206,771,264/130,768
  6. Step 6: Final answer
    x = 613,351.67

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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.