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Finding the Third Proportional to 279,787 and 422,340

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Solution

The third proportional to 279,787 and 422,340 is: 637,524.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,787 : 422,340 = 422,340 : x
  2. Step 2: Convert to fraction form
    279,787/422,340 = 422,340/x
  3. Step 3: Cross multiply
    279,787x = 422,340 × 422,340
  4. Step 4: Simplify right side
    279,787x = 178,371,075,600
  5. Step 5: Solve for x
    x = 178,371,075,600/279,787
  6. Step 6: Final answer
    x = 637,524.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.