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Finding the Third Proportional to 104,790,519,720 and 227,941,422,832

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Solution

The third proportional to 104,790,519,720 and 227,941,422,832 is: 495,820,541,605.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,790,519,720 : 227,941,422,832 = 227,941,422,832 : x
  2. Step 2: Convert to fraction form
    104,790,519,720/227,941,422,832 = 227,941,422,832/x
  3. Step 3: Cross multiply
    104,790,519,720x = 227,941,422,832 × 227,941,422,832
  4. Step 4: Simplify right side
    104,790,519,720x = 51,957,292,242,676,614,168,576
  5. Step 5: Solve for x
    x = 51,957,292,242,676,614,168,576/104,790,519,720
  6. Step 6: Final answer
    x = 495,820,541,605.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.