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Finding the Third Proportional to 130,018.75 and 283,965

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Solution

The third proportional to 130,018.75 and 283,965 is: 620,188.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,018.75 : 283,965 = 283,965 : x
  2. Step 2: Convert to fraction form
    130,018.75/283,965 = 283,965/x
  3. Step 3: Cross multiply
    130,018.75x = 283,965 × 283,965
  4. Step 4: Simplify right side
    130,018.75x = 80,636,121,225
  5. Step 5: Solve for x
    x = 80,636,121,225/130,018.75
  6. Step 6: Final answer
    x = 620,188.41

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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.