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Finding the Third Proportional to 1,309,921.88 and 2,082,980.81

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Solution

The third proportional to 1,309,921.88 and 2,082,980.81 is: 3,312,265.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309,921.88 : 2,082,980.81 = 2,082,980.81 : x
  2. Step 2: Convert to fraction form
    1,309,921.88/2,082,980.81 = 2,082,980.81/x
  3. Step 3: Cross multiply
    1,309,921.88x = 2,082,980.81 × 2,082,980.81
  4. Step 4: Simplify right side
    1,309,921.88x = 4,338,809,065,243.16
  5. Step 5: Solve for x
    x = 4,338,809,065,243.16/1,309,921.88
  6. Step 6: Final answer
    x = 3,312,265.52

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.