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Finding the Third Proportional to 8,075,380 and 12,412,415

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Solution

The third proportional to 8,075,380 and 12,412,415 is: 19,078,736.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,075,380 : 12,412,415 = 12,412,415 : x
  2. Step 2: Convert to fraction form
    8,075,380/12,412,415 = 12,412,415/x
  3. Step 3: Cross multiply
    8,075,380x = 12,412,415 × 12,412,415
  4. Step 4: Simplify right side
    8,075,380x = 154,068,046,132,225
  5. Step 5: Solve for x
    x = 154,068,046,132,225/8,075,380
  6. Step 6: Final answer
    x = 19,078,736.37

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.