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Finding the Third Proportional to 258,815 and 556,966

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Solution

The third proportional to 258,815 and 556,966 is: 1,198,582.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,815 : 556,966 = 556,966 : x
  2. Step 2: Convert to fraction form
    258,815/556,966 = 556,966/x
  3. Step 3: Cross multiply
    258,815x = 556,966 × 556,966
  4. Step 4: Simplify right side
    258,815x = 310,211,125,156
  5. Step 5: Solve for x
    x = 310,211,125,156/258,815
  6. Step 6: Final answer
    x = 1,198,582.48

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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.