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Finding the Third Proportional to 9,008,768 and 13,590,912

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Solution

The third proportional to 9,008,768 and 13,590,912 is: 20,503,679.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,008,768 : 13,590,912 = 13,590,912 : x
  2. Step 2: Convert to fraction form
    9,008,768/13,590,912 = 13,590,912/x
  3. Step 3: Cross multiply
    9,008,768x = 13,590,912 × 13,590,912
  4. Step 4: Simplify right side
    9,008,768x = 184,712,888,991,744
  5. Step 5: Solve for x
    x = 184,712,888,991,744/9,008,768
  6. Step 6: Final answer
    x = 20,503,679.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.