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Finding the Third Proportional to 201,397,940 and 310,993,647

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Solution

The third proportional to 201,397,940 and 310,993,647 is: 480,228,588.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,397,940 : 310,993,647 = 310,993,647 : x
  2. Step 2: Convert to fraction form
    201,397,940/310,993,647 = 310,993,647/x
  3. Step 3: Cross multiply
    201,397,940x = 310,993,647 × 310,993,647
  4. Step 4: Simplify right side
    201,397,940x = 96,717,048,474,360,608
  5. Step 5: Solve for x
    x = 96,717,048,474,360,608/201,397,940
  6. Step 6: Final answer
    x = 480,228,588.61

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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.