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Finding the Third Proportional to 259,913 and 558,504

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Solution

The third proportional to 259,913 and 558,504 is: 1,200,119.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,913 : 558,504 = 558,504 : x
  2. Step 2: Convert to fraction form
    259,913/558,504 = 558,504/x
  3. Step 3: Cross multiply
    259,913x = 558,504 × 558,504
  4. Step 4: Simplify right side
    259,913x = 311,926,718,016
  5. Step 5: Solve for x
    x = 311,926,718,016/259,913
  6. Step 6: Final answer
    x = 1,200,119.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.