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Finding the Third Proportional to 213,834 and 298,953

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Solution

The third proportional to 213,834 and 298,953 is: 417,954.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,834 : 298,953 = 298,953 : x
  2. Step 2: Convert to fraction form
    213,834/298,953 = 298,953/x
  3. Step 3: Cross multiply
    213,834x = 298,953 × 298,953
  4. Step 4: Simplify right side
    213,834x = 89,372,896,209
  5. Step 5: Solve for x
    x = 89,372,896,209/213,834
  6. Step 6: Final answer
    x = 417,954.56

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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.