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Finding the Third Proportional to 422,490 and 939,441

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Solution

The third proportional to 422,490 and 939,441 is: 2,088,923.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,490 : 939,441 = 939,441 : x
  2. Step 2: Convert to fraction form
    422,490/939,441 = 939,441/x
  3. Step 3: Cross multiply
    422,490x = 939,441 × 939,441
  4. Step 4: Simplify right side
    422,490x = 882,549,392,481
  5. Step 5: Solve for x
    x = 882,549,392,481/422,490
  6. Step 6: Final answer
    x = 2,088,923.74

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.