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Finding the Third Proportional to 431,322 and 938,220

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Solution

The third proportional to 431,322 and 938,220 is: 2,040,834.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,322 : 938,220 = 938,220 : x
  2. Step 2: Convert to fraction form
    431,322/938,220 = 938,220/x
  3. Step 3: Cross multiply
    431,322x = 938,220 × 938,220
  4. Step 4: Simplify right side
    431,322x = 880,256,768,400
  5. Step 5: Solve for x
    x = 880,256,768,400/431,322
  6. Step 6: Final answer
    x = 2,040,834.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.