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Finding the Third Proportional to 354,802 and 550,889

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Solution

The third proportional to 354,802 and 550,889 is: 855,346.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,802 : 550,889 = 550,889 : x
  2. Step 2: Convert to fraction form
    354,802/550,889 = 550,889/x
  3. Step 3: Cross multiply
    354,802x = 550,889 × 550,889
  4. Step 4: Simplify right side
    354,802x = 303,478,690,321
  5. Step 5: Solve for x
    x = 303,478,690,321/354,802
  6. Step 6: Final answer
    x = 855,346.62

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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.