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Finding the Third Proportional to 384,768 and 848,371.50

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Solution

The third proportional to 384,768 and 848,371.50 is: 1,870,566.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,768 : 848,371.50 = 848,371.50 : x
  2. Step 2: Convert to fraction form
    384,768/848,371.50 = 848,371.50/x
  3. Step 3: Cross multiply
    384,768x = 848,371.50 × 848,371.50
  4. Step 4: Simplify right side
    384,768x = 719,734,202,012.25
  5. Step 5: Solve for x
    x = 719,734,202,012.25/384,768
  6. Step 6: Final answer
    x = 1,870,566.68

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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.