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Finding the Third Proportional to 5,476,752 and 12,212,780

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Solution

The third proportional to 5,476,752 and 12,212,780 is: 27,233,658.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,476,752 : 12,212,780 = 12,212,780 : x
  2. Step 2: Convert to fraction form
    5,476,752/12,212,780 = 12,212,780/x
  3. Step 3: Cross multiply
    5,476,752x = 12,212,780 × 12,212,780
  4. Step 4: Simplify right side
    5,476,752x = 149,151,995,328,400
  5. Step 5: Solve for x
    x = 149,151,995,328,400/5,476,752
  6. Step 6: Final answer
    x = 27,233,658.81

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.