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Finding the Third Proportional to 407,879 and 620,454

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Solution

The third proportional to 407,879 and 620,454 is: 943,817.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,879 : 620,454 = 620,454 : x
  2. Step 2: Convert to fraction form
    407,879/620,454 = 620,454/x
  3. Step 3: Cross multiply
    407,879x = 620,454 × 620,454
  4. Step 4: Simplify right side
    407,879x = 384,963,166,116
  5. Step 5: Solve for x
    x = 384,963,166,116/407,879
  6. Step 6: Final answer
    x = 943,817.08

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.