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Finding the Third Proportional to 1,980,813 and 4,340,218.50

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Solution

The third proportional to 1,980,813 and 4,340,218.50 is: 9,509,982.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,980,813 : 4,340,218.50 = 4,340,218.50 : x
  2. Step 2: Convert to fraction form
    1,980,813/4,340,218.50 = 4,340,218.50/x
  3. Step 3: Cross multiply
    1,980,813x = 4,340,218.50 × 4,340,218.50
  4. Step 4: Simplify right side
    1,980,813x = 18,837,496,627,742.25
  5. Step 5: Solve for x
    x = 18,837,496,627,742.25/1,980,813
  6. Step 6: Final answer
    x = 9,509,982.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.