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Finding the Third Proportional to 280,401.75 and 616,851

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Solution

The third proportional to 280,401.75 and 616,851 is: 1,356,999.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,401.75 : 616,851 = 616,851 : x
  2. Step 2: Convert to fraction form
    280,401.75/616,851 = 616,851/x
  3. Step 3: Cross multiply
    280,401.75x = 616,851 × 616,851
  4. Step 4: Simplify right side
    280,401.75x = 380,505,156,201
  5. Step 5: Solve for x
    x = 380,505,156,201/280,401.75
  6. Step 6: Final answer
    x = 1,356,999.93

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.