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Finding the Third Proportional to 462,968,340,142 and 996,875,550,728

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Solution

The third proportional to 462,968,340,142 and 996,875,550,728 is: 2,146,498,534,509.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,968,340,142 : 996,875,550,728 = 996,875,550,728 : x
  2. Step 2: Convert to fraction form
    462,968,340,142/996,875,550,728 = 996,875,550,728/x
  3. Step 3: Cross multiply
    462,968,340,142x = 996,875,550,728 × 996,875,550,728
  4. Step 4: Simplify right side
    462,968,340,142x = 993,760,863,639,253,324,660,736
  5. Step 5: Solve for x
    x = 993,760,863,639,253,324,660,736/462,968,340,142
  6. Step 6: Final answer
    x = 2,146,498,534,509.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.