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Finding the Third Proportional to 290,227 and 418,037

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Solution

The third proportional to 290,227 and 418,037 is: 602,131.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,227 : 418,037 = 418,037 : x
  2. Step 2: Convert to fraction form
    290,227/418,037 = 418,037/x
  3. Step 3: Cross multiply
    290,227x = 418,037 × 418,037
  4. Step 4: Simplify right side
    290,227x = 174,754,933,369
  5. Step 5: Solve for x
    x = 174,754,933,369/290,227
  6. Step 6: Final answer
    x = 602,131.89

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.