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Finding the Third Proportional to 290,222 and 448,467

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Solution

The third proportional to 290,222 and 448,467 is: 692,995.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,222 : 448,467 = 448,467 : x
  2. Step 2: Convert to fraction form
    290,222/448,467 = 448,467/x
  3. Step 3: Cross multiply
    290,222x = 448,467 × 448,467
  4. Step 4: Simplify right side
    290,222x = 201,122,650,089
  5. Step 5: Solve for x
    x = 201,122,650,089/290,222
  6. Step 6: Final answer
    x = 692,995.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.