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Finding the Third Proportional to 258,408,473.06 and 397,192,508.72

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Solution

The third proportional to 258,408,473.06 and 397,192,508.72 is: 610,513,607.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,408,473.06 : 397,192,508.72 = 397,192,508.72 : x
  2. Step 2: Convert to fraction form
    258,408,473.06/397,192,508.72 = 397,192,508.72/x
  3. Step 3: Cross multiply
    258,408,473.06x = 397,192,508.72 × 397,192,508.72
  4. Step 4: Simplify right side
    258,408,473.06x = 157,761,888,982,294,304
  5. Step 5: Solve for x
    x = 157,761,888,982,294,304/258,408,473.06
  6. Step 6: Final answer
    x = 610,513,607.05

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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.