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Finding the Third Proportional to 130,284 and 283,977

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Solution

The third proportional to 130,284 and 283,977 is: 618,978.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,284 : 283,977 = 283,977 : x
  2. Step 2: Convert to fraction form
    130,284/283,977 = 283,977/x
  3. Step 3: Cross multiply
    130,284x = 283,977 × 283,977
  4. Step 4: Simplify right side
    130,284x = 80,642,936,529
  5. Step 5: Solve for x
    x = 80,642,936,529/130,284
  6. Step 6: Final answer
    x = 618,978.05

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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.