Home / 258,408,498.38-397,192,548.38

Finding the Third Proportional to 258,408,498.38 and 397,192,548.38

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Solution

The third proportional to 258,408,498.38 and 397,192,548.38 is: 610,513,669.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,408,498.38 : 397,192,548.38 = 397,192,548.38 : x
  2. Step 2: Convert to fraction form
    258,408,498.38/397,192,548.38 = 397,192,548.38/x
  3. Step 3: Cross multiply
    258,408,498.38x = 397,192,548.38 × 397,192,548.38
  4. Step 4: Simplify right side
    258,408,498.38x = 157,761,920,484,626,720
  5. Step 5: Solve for x
    x = 157,761,920,484,626,720/258,408,498.38
  6. Step 6: Final answer
    x = 610,513,669.16

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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.