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Finding the Third Proportional to 290,244 and 448,305

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Solution

The third proportional to 290,244 and 448,305 is: 692,442.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,244 : 448,305 = 448,305 : x
  2. Step 2: Convert to fraction form
    290,244/448,305 = 448,305/x
  3. Step 3: Cross multiply
    290,244x = 448,305 × 448,305
  4. Step 4: Simplify right side
    290,244x = 200,977,373,025
  5. Step 5: Solve for x
    x = 200,977,373,025/290,244
  6. Step 6: Final answer
    x = 692,442.82

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.