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Finding the Third Proportional to 258,304,649 and 397,567,197

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Solution

The third proportional to 258,304,649 and 397,567,197 is: 611,911,851.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,304,649 : 397,567,197 = 397,567,197 : x
  2. Step 2: Convert to fraction form
    258,304,649/397,567,197 = 397,567,197/x
  3. Step 3: Cross multiply
    258,304,649x = 397,567,197 × 397,567,197
  4. Step 4: Simplify right side
    258,304,649x = 158,059,676,130,436,800
  5. Step 5: Solve for x
    x = 158,059,676,130,436,800/258,304,649
  6. Step 6: Final answer
    x = 611,911,851.93

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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.