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Finding the Third Proportional to 1,742,476 and 3,751,936

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Solution

The third proportional to 1,742,476 and 3,751,936 is: 8,078,747.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742,476 : 3,751,936 = 3,751,936 : x
  2. Step 2: Convert to fraction form
    1,742,476/3,751,936 = 3,751,936/x
  3. Step 3: Cross multiply
    1,742,476x = 3,751,936 × 3,751,936
  4. Step 4: Simplify right side
    1,742,476x = 14,077,023,748,096
  5. Step 5: Solve for x
    x = 14,077,023,748,096/1,742,476
  6. Step 6: Final answer
    x = 8,078,747.57

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.