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Finding the Third Proportional to 73,127,203,122 and 102,979,216,284

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Solution

The third proportional to 73,127,203,122 and 102,979,216,284 is: 145,017,428,996.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,127,203,122 : 102,979,216,284 = 102,979,216,284 : x
  2. Step 2: Convert to fraction form
    73,127,203,122/102,979,216,284 = 102,979,216,284/x
  3. Step 3: Cross multiply
    73,127,203,122x = 102,979,216,284 × 102,979,216,284
  4. Step 4: Simplify right side
    73,127,203,122x = 10,604,718,986,466,850,504,704
  5. Step 5: Solve for x
    x = 10,604,718,986,466,850,504,704/73,127,203,122
  6. Step 6: Final answer
    x = 145,017,428,996.63

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.