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Finding the Third Proportional to 5,390,069 and 11,677,129

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Solution

The third proportional to 5,390,069 and 11,677,129 is: 25,297,513.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,390,069 : 11,677,129 = 11,677,129 : x
  2. Step 2: Convert to fraction form
    5,390,069/11,677,129 = 11,677,129/x
  3. Step 3: Cross multiply
    5,390,069x = 11,677,129 × 11,677,129
  4. Step 4: Simplify right side
    5,390,069x = 136,355,341,682,641
  5. Step 5: Solve for x
    x = 136,355,341,682,641/5,390,069
  6. Step 6: Final answer
    x = 25,297,513.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.