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Finding the Third Proportional to 3,742,128 and 5,213,727

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Solution

The third proportional to 3,742,128 and 5,213,727 is: 7,264,035.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,742,128 : 5,213,727 = 5,213,727 : x
  2. Step 2: Convert to fraction form
    3,742,128/5,213,727 = 5,213,727/x
  3. Step 3: Cross multiply
    3,742,128x = 5,213,727 × 5,213,727
  4. Step 4: Simplify right side
    3,742,128x = 27,182,949,230,529
  5. Step 5: Solve for x
    x = 27,182,949,230,529/3,742,128
  6. Step 6: Final answer
    x = 7,264,035.12

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.