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Finding the Third Proportional to 505,879,203 and 1,128,076,431

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Solution

The third proportional to 505,879,203 and 1,128,076,431 is: 2,515,534,195.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,879,203 : 1,128,076,431 = 1,128,076,431 : x
  2. Step 2: Convert to fraction form
    505,879,203/1,128,076,431 = 1,128,076,431/x
  3. Step 3: Cross multiply
    505,879,203x = 1,128,076,431 × 1,128,076,431
  4. Step 4: Simplify right side
    505,879,203x = 1,272,556,434,177,697,792
  5. Step 5: Solve for x
    x = 1,272,556,434,177,697,792/505,879,203
  6. Step 6: Final answer
    x = 2,515,534,195.97

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.