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Finding the Third Proportional to 422,487 and 939,432

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Solution

The third proportional to 422,487 and 939,432 is: 2,088,898.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,487 : 939,432 = 939,432 : x
  2. Step 2: Convert to fraction form
    422,487/939,432 = 939,432/x
  3. Step 3: Cross multiply
    422,487x = 939,432 × 939,432
  4. Step 4: Simplify right side
    422,487x = 882,532,482,624
  5. Step 5: Solve for x
    x = 882,532,482,624/422,487
  6. Step 6: Final answer
    x = 2,088,898.55

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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.