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Finding the Third Proportional to 290,245 and 448,307

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Solution

The third proportional to 290,245 and 448,307 is: 692,446.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,245 : 448,307 = 448,307 : x
  2. Step 2: Convert to fraction form
    290,245/448,307 = 448,307/x
  3. Step 3: Cross multiply
    290,245x = 448,307 × 448,307
  4. Step 4: Simplify right side
    290,245x = 200,979,166,249
  5. Step 5: Solve for x
    x = 200,979,166,249/290,245
  6. Step 6: Final answer
    x = 692,446.61

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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.