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Finding the Third Proportional to 1,742,454.56 and 3,774,451.22

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Solution

The third proportional to 1,742,454.56 and 3,774,451.22 is: 8,176,099.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742,454.56 : 3,774,451.22 = 3,774,451.22 : x
  2. Step 2: Convert to fraction form
    1,742,454.56/3,774,451.22 = 3,774,451.22/x
  3. Step 3: Cross multiply
    1,742,454.56x = 3,774,451.22 × 3,774,451.22
  4. Step 4: Simplify right side
    1,742,454.56x = 14,246,482,002,723.36
  5. Step 5: Solve for x
    x = 14,246,482,002,723.36/1,742,454.56
  6. Step 6: Final answer
    x = 8,176,099.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.