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Finding the Third Proportional to 259,019,726 and 398,533,836

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Solution

The third proportional to 259,019,726 and 398,533,836 is: 613,193,523.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,019,726 : 398,533,836 = 398,533,836 : x
  2. Step 2: Convert to fraction form
    259,019,726/398,533,836 = 398,533,836/x
  3. Step 3: Cross multiply
    259,019,726x = 398,533,836 × 398,533,836
  4. Step 4: Simplify right side
    259,019,726x = 158,829,218,436,874,880
  5. Step 5: Solve for x
    x = 158,829,218,436,874,880/259,019,726
  6. Step 6: Final answer
    x = 613,193,523.48

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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.