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Finding the Third Proportional to 258,408,501 and 397,192,551

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Solution

The third proportional to 258,408,501 and 397,192,551 is: 610,513,671.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,408,501 : 397,192,551 = 397,192,551 : x
  2. Step 2: Convert to fraction form
    258,408,501/397,192,551 = 397,192,551/x
  3. Step 3: Cross multiply
    258,408,501x = 397,192,551 × 397,192,551
  4. Step 4: Simplify right side
    258,408,501x = 157,761,922,569,887,616
  5. Step 5: Solve for x
    x = 157,761,922,569,887,616/258,408,501
  6. Step 6: Final answer
    x = 610,513,671.03

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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.