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Finding the Third Proportional to 104,218,628 and 222,749,712

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Solution

The third proportional to 104,218,628 and 222,749,712 is: 476,089,880.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,218,628 : 222,749,712 = 222,749,712 : x
  2. Step 2: Convert to fraction form
    104,218,628/222,749,712 = 222,749,712/x
  3. Step 3: Cross multiply
    104,218,628x = 222,749,712 × 222,749,712
  4. Step 4: Simplify right side
    104,218,628x = 49,617,434,196,082,944
  5. Step 5: Solve for x
    x = 49,617,434,196,082,944/104,218,628
  6. Step 6: Final answer
    x = 476,089,880.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.