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Finding the Third Proportional to 290,294 and 426,903

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Solution

The third proportional to 290,294 and 426,903 is: 627,798.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,294 : 426,903 = 426,903 : x
  2. Step 2: Convert to fraction form
    290,294/426,903 = 426,903/x
  3. Step 3: Cross multiply
    290,294x = 426,903 × 426,903
  4. Step 4: Simplify right side
    290,294x = 182,246,171,409
  5. Step 5: Solve for x
    x = 182,246,171,409/290,294
  6. Step 6: Final answer
    x = 627,798.62

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.