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Finding the Third Proportional to 2,021,324 and 4,378,777

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Solution

The third proportional to 2,021,324 and 4,378,777 is: 9,485,707.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021,324 : 4,378,777 = 4,378,777 : x
  2. Step 2: Convert to fraction form
    2,021,324/4,378,777 = 4,378,777/x
  3. Step 3: Cross multiply
    2,021,324x = 4,378,777 × 4,378,777
  4. Step 4: Simplify right side
    2,021,324x = 19,173,688,015,729
  5. Step 5: Solve for x
    x = 19,173,688,015,729/2,021,324
  6. Step 6: Final answer
    x = 9,485,707.40

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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.