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Finding the Third Proportional to 258,369 and 556,322

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Solution

The third proportional to 258,369 and 556,322 is: 1,197,876.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,369 : 556,322 = 556,322 : x
  2. Step 2: Convert to fraction form
    258,369/556,322 = 556,322/x
  3. Step 3: Cross multiply
    258,369x = 556,322 × 556,322
  4. Step 4: Simplify right side
    258,369x = 309,494,167,684
  5. Step 5: Solve for x
    x = 309,494,167,684/258,369
  6. Step 6: Final answer
    x = 1,197,876.56

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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.