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Finding the Third Proportional to 258,303,932 and 397,565,970

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Solution

The third proportional to 258,303,932 and 397,565,970 is: 611,909,773.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,303,932 : 397,565,970 = 397,565,970 : x
  2. Step 2: Convert to fraction form
    258,303,932/397,565,970 = 397,565,970/x
  3. Step 3: Cross multiply
    258,303,932x = 397,565,970 × 397,565,970
  4. Step 4: Simplify right side
    258,303,932x = 158,058,700,502,040,896
  5. Step 5: Solve for x
    x = 158,058,700,502,040,896/258,303,932
  6. Step 6: Final answer
    x = 611,909,773.41

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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.