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Finding the Third Proportional to 310,556,832 and 664,739,520

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Solution

The third proportional to 310,556,832 and 664,739,520 is: 1,422,859,148.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,556,832 : 664,739,520 = 664,739,520 : x
  2. Step 2: Convert to fraction form
    310,556,832/664,739,520 = 664,739,520/x
  3. Step 3: Cross multiply
    310,556,832x = 664,739,520 × 664,739,520
  4. Step 4: Simplify right side
    310,556,832x = 441,878,629,449,830,400
  5. Step 5: Solve for x
    x = 441,878,629,449,830,400/310,556,832
  6. Step 6: Final answer
    x = 1,422,859,148.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.