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Finding the Third Proportional to 258,304,647.94 and 397,567,195.31

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Solution

The third proportional to 258,304,647.94 and 397,567,195.31 is: 611,911,849.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,304,647.94 : 397,567,195.31 = 397,567,195.31 : x
  2. Step 2: Convert to fraction form
    258,304,647.94/397,567,195.31 = 397,567,195.31/x
  3. Step 3: Cross multiply
    258,304,647.94x = 397,567,195.31 × 397,567,195.31
  4. Step 4: Simplify right side
    258,304,647.94x = 158,059,674,788,647,520
  5. Step 5: Solve for x
    x = 158,059,674,788,647,520/258,304,647.94
  6. Step 6: Final answer
    x = 611,911,849.25

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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.