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Finding the Third Proportional to 9,115,144 and 14,109,408

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Solution

The third proportional to 9,115,144 and 14,109,408 is: 21,840,071.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,115,144 : 14,109,408 = 14,109,408 : x
  2. Step 2: Convert to fraction form
    9,115,144/14,109,408 = 14,109,408/x
  3. Step 3: Cross multiply
    9,115,144x = 14,109,408 × 14,109,408
  4. Step 4: Simplify right side
    9,115,144x = 199,075,394,110,464
  5. Step 5: Solve for x
    x = 199,075,394,110,464/9,115,144
  6. Step 6: Final answer
    x = 21,840,071.22

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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.