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Finding the Third Proportional to 120,412 and 190,823

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Solution

The third proportional to 120,412 and 190,823 is: 302,406.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,412 : 190,823 = 190,823 : x
  2. Step 2: Convert to fraction form
    120,412/190,823 = 190,823/x
  3. Step 3: Cross multiply
    120,412x = 190,823 × 190,823
  4. Step 4: Simplify right side
    120,412x = 36,413,417,329
  5. Step 5: Solve for x
    x = 36,413,417,329/120,412
  6. Step 6: Final answer
    x = 302,406.88

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.