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Finding the Third Proportional to 11,137,321 and 17,721,843

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Solution

The third proportional to 11,137,321 and 17,721,843 is: 28,199,215.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,137,321 : 17,721,843 = 17,721,843 : x
  2. Step 2: Convert to fraction form
    11,137,321/17,721,843 = 17,721,843/x
  3. Step 3: Cross multiply
    11,137,321x = 17,721,843 × 17,721,843
  4. Step 4: Simplify right side
    11,137,321x = 314,063,719,316,649
  5. Step 5: Solve for x
    x = 314,063,719,316,649/11,137,321
  6. Step 6: Final answer
    x = 28,199,215.89

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.