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Finding the Third Proportional to 118,959.75 and 280,720.50

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Solution

The third proportional to 118,959.75 and 280,720.50 is: 662,442.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,959.75 : 280,720.50 = 280,720.50 : x
  2. Step 2: Convert to fraction form
    118,959.75/280,720.50 = 280,720.50/x
  3. Step 3: Cross multiply
    118,959.75x = 280,720.50 × 280,720.50
  4. Step 4: Simplify right side
    118,959.75x = 78,803,999,120.25
  5. Step 5: Solve for x
    x = 78,803,999,120.25/118,959.75
  6. Step 6: Final answer
    x = 662,442.54

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.