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Finding the Third Proportional to 358,989 and 563,198

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Solution

The third proportional to 358,989 and 563,198 is: 883,570.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,989 : 563,198 = 563,198 : x
  2. Step 2: Convert to fraction form
    358,989/563,198 = 563,198/x
  3. Step 3: Cross multiply
    358,989x = 563,198 × 563,198
  4. Step 4: Simplify right side
    358,989x = 317,191,987,204
  5. Step 5: Solve for x
    x = 317,191,987,204/358,989
  6. Step 6: Final answer
    x = 883,570.21

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.