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Finding the Third Proportional to 281,946 and 422,829

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Solution

The third proportional to 281,946 and 422,829 is: 634,108.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,946 : 422,829 = 422,829 : x
  2. Step 2: Convert to fraction form
    281,946/422,829 = 422,829/x
  3. Step 3: Cross multiply
    281,946x = 422,829 × 422,829
  4. Step 4: Simplify right side
    281,946x = 178,784,363,241
  5. Step 5: Solve for x
    x = 178,784,363,241/281,946
  6. Step 6: Final answer
    x = 634,108.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.