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Finding the Third Proportional to 387,392,562,132 and 839,247,114,740

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Solution

The third proportional to 387,392,562,132 and 839,247,114,740 is: 1,818,144,663,705.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,392,562,132 : 839,247,114,740 = 839,247,114,740 : x
  2. Step 2: Convert to fraction form
    387,392,562,132/839,247,114,740 = 839,247,114,740/x
  3. Step 3: Cross multiply
    387,392,562,132x = 839,247,114,740 × 839,247,114,740
  4. Step 4: Simplify right side
    387,392,562,132x = 704,335,719,599,414,672,621,568
  5. Step 5: Solve for x
    x = 704,335,719,599,414,672,621,568/387,392,562,132
  6. Step 6: Final answer
    x = 1,818,144,663,705.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.