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Finding the Third Proportional to 201,397,443 and 310,992,885

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Solution

The third proportional to 201,397,443 and 310,992,885 is: 480,227,420.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,397,443 : 310,992,885 = 310,992,885 : x
  2. Step 2: Convert to fraction form
    201,397,443/310,992,885 = 310,992,885/x
  3. Step 3: Cross multiply
    201,397,443x = 310,992,885 × 310,992,885
  4. Step 4: Simplify right side
    201,397,443x = 96,716,574,520,623,232
  5. Step 5: Solve for x
    x = 96,716,574,520,623,232/201,397,443
  6. Step 6: Final answer
    x = 480,227,420.37

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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.