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Finding the Third Proportional to 1,218,447 and 2,640,282

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Solution

The third proportional to 1,218,447 and 2,640,282 is: 5,721,290.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218,447 : 2,640,282 = 2,640,282 : x
  2. Step 2: Convert to fraction form
    1,218,447/2,640,282 = 2,640,282/x
  3. Step 3: Cross multiply
    1,218,447x = 2,640,282 × 2,640,282
  4. Step 4: Simplify right side
    1,218,447x = 6,971,089,039,524
  5. Step 5: Solve for x
    x = 6,971,089,039,524/1,218,447
  6. Step 6: Final answer
    x = 5,721,290.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.