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Finding the Third Proportional to 281,672 and 611,920

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Solution

The third proportional to 281,672 and 611,920 is: 1,329,369.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,672 : 611,920 = 611,920 : x
  2. Step 2: Convert to fraction form
    281,672/611,920 = 611,920/x
  3. Step 3: Cross multiply
    281,672x = 611,920 × 611,920
  4. Step 4: Simplify right side
    281,672x = 374,446,086,400
  5. Step 5: Solve for x
    x = 374,446,086,400/281,672
  6. Step 6: Final answer
    x = 1,329,369.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.