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Finding the Third Proportional to 328,971,171 and 722,504,517

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Solution

The third proportional to 328,971,171 and 722,504,517 is: 1,586,804,021.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,971,171 : 722,504,517 = 722,504,517 : x
  2. Step 2: Convert to fraction form
    328,971,171/722,504,517 = 722,504,517/x
  3. Step 3: Cross multiply
    328,971,171x = 722,504,517 × 722,504,517
  4. Step 4: Simplify right side
    328,971,171x = 522,012,777,085,403,264
  5. Step 5: Solve for x
    x = 522,012,777,085,403,264/328,971,171
  6. Step 6: Final answer
    x = 1,586,804,021.45

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.