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Finding the Third Proportional to 12,206,738 and 18,884,080

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Solution

The third proportional to 12,206,738 and 18,884,080 is: 29,214,068.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,206,738 : 18,884,080 = 18,884,080 : x
  2. Step 2: Convert to fraction form
    12,206,738/18,884,080 = 18,884,080/x
  3. Step 3: Cross multiply
    12,206,738x = 18,884,080 × 18,884,080
  4. Step 4: Simplify right side
    12,206,738x = 356,608,477,446,400
  5. Step 5: Solve for x
    x = 356,608,477,446,400/12,206,738
  6. Step 6: Final answer
    x = 29,214,068.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.