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Finding the Third Proportional to 258,303,986 and 397,566,057

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Solution

The third proportional to 258,303,986 and 397,566,057 is: 611,909,913.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,303,986 : 397,566,057 = 397,566,057 : x
  2. Step 2: Convert to fraction form
    258,303,986/397,566,057 = 397,566,057/x
  3. Step 3: Cross multiply
    258,303,986x = 397,566,057 × 397,566,057
  4. Step 4: Simplify right side
    258,303,986x = 158,058,769,678,527,264
  5. Step 5: Solve for x
    x = 158,058,769,678,527,264/258,303,986
  6. Step 6: Final answer
    x = 611,909,913.30

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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.