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Finding the Third Proportional to 273,260,646 and 595,039,797

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Solution

The third proportional to 273,260,646 and 595,039,797 is: 1,295,731,255.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,260,646 : 595,039,797 = 595,039,797 : x
  2. Step 2: Convert to fraction form
    273,260,646/595,039,797 = 595,039,797/x
  3. Step 3: Cross multiply
    273,260,646x = 595,039,797 × 595,039,797
  4. Step 4: Simplify right side
    273,260,646x = 354,072,360,013,801,216
  5. Step 5: Solve for x
    x = 354,072,360,013,801,216/273,260,646
  6. Step 6: Final answer
    x = 1,295,731,255.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.