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Finding the Third Proportional to 213,854 and 298,983

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Solution

The third proportional to 213,854 and 298,983 is: 417,999.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,854 : 298,983 = 298,983 : x
  2. Step 2: Convert to fraction form
    213,854/298,983 = 298,983/x
  3. Step 3: Cross multiply
    213,854x = 298,983 × 298,983
  4. Step 4: Simplify right side
    213,854x = 89,390,834,289
  5. Step 5: Solve for x
    x = 89,390,834,289/213,854
  6. Step 6: Final answer
    x = 417,999.36

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.