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Finding the Third Proportional to 384,777 and 848,389.50

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Solution

The third proportional to 384,777 and 848,389.50 is: 1,870,602.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,777 : 848,389.50 = 848,389.50 : x
  2. Step 2: Convert to fraction form
    384,777/848,389.50 = 848,389.50/x
  3. Step 3: Cross multiply
    384,777x = 848,389.50 × 848,389.50
  4. Step 4: Simplify right side
    384,777x = 719,764,743,710.25
  5. Step 5: Solve for x
    x = 719,764,743,710.25/384,777
  6. Step 6: Final answer
    x = 1,870,602.31

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.