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Finding the Third Proportional to 248,490 and 331,065.75

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Solution

The third proportional to 248,490 and 331,065.75 is: 441,082.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,490 : 331,065.75 = 331,065.75 : x
  2. Step 2: Convert to fraction form
    248,490/331,065.75 = 331,065.75/x
  3. Step 3: Cross multiply
    248,490x = 331,065.75 × 331,065.75
  4. Step 4: Simplify right side
    248,490x = 109,604,530,823.06
  5. Step 5: Solve for x
    x = 109,604,530,823.06/248,490
  6. Step 6: Final answer
    x = 441,082.26

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.