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Finding the Third Proportional to 290,947 and 451,554

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Solution

The third proportional to 290,947 and 451,554 is: 700,818.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,947 : 451,554 = 451,554 : x
  2. Step 2: Convert to fraction form
    290,947/451,554 = 451,554/x
  3. Step 3: Cross multiply
    290,947x = 451,554 × 451,554
  4. Step 4: Simplify right side
    290,947x = 203,901,014,916
  5. Step 5: Solve for x
    x = 203,901,014,916/290,947
  6. Step 6: Final answer
    x = 700,818.41

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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.