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Finding the Third Proportional to 122,635,408 and 267,043,616

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Solution

The third proportional to 122,635,408 and 267,043,616 is: 581,498,394.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,635,408 : 267,043,616 = 267,043,616 : x
  2. Step 2: Convert to fraction form
    122,635,408/267,043,616 = 267,043,616/x
  3. Step 3: Cross multiply
    122,635,408x = 267,043,616 × 267,043,616
  4. Step 4: Simplify right side
    122,635,408x = 71,312,292,846,355,456
  5. Step 5: Solve for x
    x = 71,312,292,846,355,456/122,635,408
  6. Step 6: Final answer
    x = 581,498,394.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.