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Finding the Third Proportional to 258,408,484.88 and 397,192,526.44

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Solution

The third proportional to 258,408,484.88 and 397,192,526.44 is: 610,513,633.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,408,484.88 : 397,192,526.44 = 397,192,526.44 : x
  2. Step 2: Convert to fraction form
    258,408,484.88/397,192,526.44 = 397,192,526.44/x
  3. Step 3: Cross multiply
    258,408,484.88x = 397,192,526.44 × 397,192,526.44
  4. Step 4: Simplify right side
    258,408,484.88x = 157,761,903,057,804,128
  5. Step 5: Solve for x
    x = 157,761,903,057,804,128/258,408,484.88
  6. Step 6: Final answer
    x = 610,513,633.61

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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.