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Finding the Third Proportional to 2,153,678 and 3,378,957

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Solution

The third proportional to 2,153,678 and 3,378,957 is: 5,301,326.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153,678 : 3,378,957 = 3,378,957 : x
  2. Step 2: Convert to fraction form
    2,153,678/3,378,957 = 3,378,957/x
  3. Step 3: Cross multiply
    2,153,678x = 3,378,957 × 3,378,957
  4. Step 4: Simplify right side
    2,153,678x = 11,417,350,407,849
  5. Step 5: Solve for x
    x = 11,417,350,407,849/2,153,678
  6. Step 6: Final answer
    x = 5,301,326.57

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.