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Finding the Third Proportional to 434,472 and 908,634

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Solution

The third proportional to 434,472 and 908,634 is: 1,900,273.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,472 : 908,634 = 908,634 : x
  2. Step 2: Convert to fraction form
    434,472/908,634 = 908,634/x
  3. Step 3: Cross multiply
    434,472x = 908,634 × 908,634
  4. Step 4: Simplify right side
    434,472x = 825,615,745,956
  5. Step 5: Solve for x
    x = 825,615,745,956/434,472
  6. Step 6: Final answer
    x = 1,900,273.77

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.