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Finding the Third Proportional to 3,212,480 and 4,282,728

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Solution

The third proportional to 3,212,480 and 4,282,728 is: 5,709,532.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,212,480 : 4,282,728 = 4,282,728 : x
  2. Step 2: Convert to fraction form
    3,212,480/4,282,728 = 4,282,728/x
  3. Step 3: Cross multiply
    3,212,480x = 4,282,728 × 4,282,728
  4. Step 4: Simplify right side
    3,212,480x = 18,341,759,121,984
  5. Step 5: Solve for x
    x = 18,341,759,121,984/3,212,480
  6. Step 6: Final answer
    x = 5,709,532.55

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.