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Finding the Third Proportional to 280,964 and 621,016

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Solution

The third proportional to 280,964 and 621,016 is: 1,372,634.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,964 : 621,016 = 621,016 : x
  2. Step 2: Convert to fraction form
    280,964/621,016 = 621,016/x
  3. Step 3: Cross multiply
    280,964x = 621,016 × 621,016
  4. Step 4: Simplify right side
    280,964x = 385,660,872,256
  5. Step 5: Solve for x
    x = 385,660,872,256/280,964
  6. Step 6: Final answer
    x = 1,372,634.47

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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.