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Finding the Third Proportional to 258,303,920 and 397,565,952

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Solution

The third proportional to 258,303,920 and 397,565,952 is: 611,909,746.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,303,920 : 397,565,952 = 397,565,952 : x
  2. Step 2: Convert to fraction form
    258,303,920/397,565,952 = 397,565,952/x
  3. Step 3: Cross multiply
    258,303,920x = 397,565,952 × 397,565,952
  4. Step 4: Simplify right side
    258,303,920x = 158,058,686,189,666,304
  5. Step 5: Solve for x
    x = 158,058,686,189,666,304/258,303,920
  6. Step 6: Final answer
    x = 611,909,746.43

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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.