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Finding the Third Proportional to 462,968,340,138 and 996,875,550,720

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Solution

The third proportional to 462,968,340,138 and 996,875,550,720 is: 2,146,498,534,493.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,968,340,138 : 996,875,550,720 = 996,875,550,720 : x
  2. Step 2: Convert to fraction form
    462,968,340,138/996,875,550,720 = 996,875,550,720/x
  3. Step 3: Cross multiply
    462,968,340,138x = 996,875,550,720 × 996,875,550,720
  4. Step 4: Simplify right side
    462,968,340,138x = 993,760,863,623,303,292,518,400
  5. Step 5: Solve for x
    x = 993,760,863,623,303,292,518,400/462,968,340,138
  6. Step 6: Final answer
    x = 2,146,498,534,493.93

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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.