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Finding the Third Proportional to 897,448,392 and 1,378,590,621

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Solution

The third proportional to 897,448,392 and 1,378,590,621 is: 2,117,683,999.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,448,392 : 1,378,590,621 = 1,378,590,621 : x
  2. Step 2: Convert to fraction form
    897,448,392/1,378,590,621 = 1,378,590,621/x
  3. Step 3: Cross multiply
    897,448,392x = 1,378,590,621 × 1,378,590,621
  4. Step 4: Simplify right side
    897,448,392x = 1,900,512,100,309,165,568
  5. Step 5: Solve for x
    x = 1,900,512,100,309,165,568/897,448,392
  6. Step 6: Final answer
    x = 2,117,683,999.72

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.