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Finding the Third Proportional to 130,511.50 and 284,993

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Solution

The third proportional to 130,511.50 and 284,993 is: 622,328.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,511.50 : 284,993 = 284,993 : x
  2. Step 2: Convert to fraction form
    130,511.50/284,993 = 284,993/x
  3. Step 3: Cross multiply
    130,511.50x = 284,993 × 284,993
  4. Step 4: Simplify right side
    130,511.50x = 81,221,010,049
  5. Step 5: Solve for x
    x = 81,221,010,049/130,511.50
  6. Step 6: Final answer
    x = 622,328.38

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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.