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Finding the Third Proportional to 283,904 and 620,800

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Solution

The third proportional to 283,904 and 620,800 is: 1,357,475.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,904 : 620,800 = 620,800 : x
  2. Step 2: Convert to fraction form
    283,904/620,800 = 620,800/x
  3. Step 3: Cross multiply
    283,904x = 620,800 × 620,800
  4. Step 4: Simplify right side
    283,904x = 385,392,640,000
  5. Step 5: Solve for x
    x = 385,392,640,000/283,904
  6. Step 6: Final answer
    x = 1,357,475.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.