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Finding the Third Proportional to 213,858 and 298,985

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Solution

The third proportional to 213,858 and 298,985 is: 417,997.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,858 : 298,985 = 298,985 : x
  2. Step 2: Convert to fraction form
    213,858/298,985 = 298,985/x
  3. Step 3: Cross multiply
    213,858x = 298,985 × 298,985
  4. Step 4: Simplify right side
    213,858x = 89,392,030,225
  5. Step 5: Solve for x
    x = 89,392,030,225/213,858
  6. Step 6: Final answer
    x = 417,997.13

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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.