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Finding the Third Proportional to 120,630 and 257,823

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Solution

The third proportional to 120,630 and 257,823 is: 551,046.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,630 : 257,823 = 257,823 : x
  2. Step 2: Convert to fraction form
    120,630/257,823 = 257,823/x
  3. Step 3: Cross multiply
    120,630x = 257,823 × 257,823
  4. Step 4: Simplify right side
    120,630x = 66,472,699,329
  5. Step 5: Solve for x
    x = 66,472,699,329/120,630
  6. Step 6: Final answer
    x = 551,046.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.