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Finding the Third Proportional to 201,397,872 and 310,993,530

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Solution

The third proportional to 201,397,872 and 310,993,530 is: 480,228,389.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,397,872 : 310,993,530 = 310,993,530 : x
  2. Step 2: Convert to fraction form
    201,397,872/310,993,530 = 310,993,530/x
  3. Step 3: Cross multiply
    201,397,872x = 310,993,530 × 310,993,530
  4. Step 4: Simplify right side
    201,397,872x = 96,716,975,701,860,896
  5. Step 5: Solve for x
    x = 96,716,975,701,860,896/201,397,872
  6. Step 6: Final answer
    x = 480,228,389.41

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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.