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Finding the Third Proportional to 2,212,816 and 4,506,784

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Solution

The third proportional to 2,212,816 and 4,506,784 is: 9,178,848.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,212,816 : 4,506,784 = 4,506,784 : x
  2. Step 2: Convert to fraction form
    2,212,816/4,506,784 = 4,506,784/x
  3. Step 3: Cross multiply
    2,212,816x = 4,506,784 × 4,506,784
  4. Step 4: Simplify right side
    2,212,816x = 20,311,102,022,656
  5. Step 5: Solve for x
    x = 20,311,102,022,656/2,212,816
  6. Step 6: Final answer
    x = 9,178,848.14

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.