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Finding the Third Proportional to 12,884,409 and 27,786,321

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Solution

The third proportional to 12,884,409 and 27,786,321 is: 59,923,558.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,884,409 : 27,786,321 = 27,786,321 : x
  2. Step 2: Convert to fraction form
    12,884,409/27,786,321 = 27,786,321/x
  3. Step 3: Cross multiply
    12,884,409x = 27,786,321 × 27,786,321
  4. Step 4: Simplify right side
    12,884,409x = 772,079,634,715,041
  5. Step 5: Solve for x
    x = 772,079,634,715,041/12,884,409
  6. Step 6: Final answer
    x = 59,923,558.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.