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Finding the Third Proportional to 258,408,498 and 397,192,545

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Solution

The third proportional to 258,408,498 and 397,192,545 is: 610,513,659.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,408,498 : 397,192,545 = 397,192,545 : x
  2. Step 2: Convert to fraction form
    258,408,498/397,192,545 = 397,192,545/x
  3. Step 3: Cross multiply
    258,408,498x = 397,192,545 × 397,192,545
  4. Step 4: Simplify right side
    258,408,498x = 157,761,917,803,577,024
  5. Step 5: Solve for x
    x = 157,761,917,803,577,024/258,408,498
  6. Step 6: Final answer
    x = 610,513,659.67

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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.