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Finding the Third Proportional to 476,329,077 and 1,021,578,219

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Solution

The third proportional to 476,329,077 and 1,021,578,219 is: 2,190,968,613.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,329,077 : 1,021,578,219 = 1,021,578,219 : x
  2. Step 2: Convert to fraction form
    476,329,077/1,021,578,219 = 1,021,578,219/x
  3. Step 3: Cross multiply
    476,329,077x = 1,021,578,219 × 1,021,578,219
  4. Step 4: Simplify right side
    476,329,077x = 1,043,622,057,535,211,904
  5. Step 5: Solve for x
    x = 1,043,622,057,535,211,904/476,329,077
  6. Step 6: Final answer
    x = 2,190,968,613.77

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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.