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Finding the Third Proportional to 130,260 and 283,929

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Solution

The third proportional to 130,260 and 283,929 is: 618,882.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,260 : 283,929 = 283,929 : x
  2. Step 2: Convert to fraction form
    130,260/283,929 = 283,929/x
  3. Step 3: Cross multiply
    130,260x = 283,929 × 283,929
  4. Step 4: Simplify right side
    130,260x = 80,615,677,041
  5. Step 5: Solve for x
    x = 80,615,677,041/130,260
  6. Step 6: Final answer
    x = 618,882.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.