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Finding the Third Proportional to 280,956 and 621,000

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Solution

The third proportional to 280,956 and 621,000 is: 1,372,602.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,956 : 621,000 = 621,000 : x
  2. Step 2: Convert to fraction form
    280,956/621,000 = 621,000/x
  3. Step 3: Cross multiply
    280,956x = 621,000 × 621,000
  4. Step 4: Simplify right side
    280,956x = 385,641,000,000
  5. Step 5: Solve for x
    x = 385,641,000,000/280,956
  6. Step 6: Final answer
    x = 1,372,602.83

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.