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Finding the Third Proportional to 1,442,269.88 and 3,077,579.25

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Solution

The third proportional to 1,442,269.88 and 3,077,579.25 is: 6,567,074.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442,269.88 : 3,077,579.25 = 3,077,579.25 : x
  2. Step 2: Convert to fraction form
    1,442,269.88/3,077,579.25 = 3,077,579.25/x
  3. Step 3: Cross multiply
    1,442,269.88x = 3,077,579.25 × 3,077,579.25
  4. Step 4: Simplify right side
    1,442,269.88x = 9,471,494,040,030.56
  5. Step 5: Solve for x
    x = 9,471,494,040,030.56/1,442,269.88
  6. Step 6: Final answer
    x = 6,567,074.72

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.