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Finding the Third Proportional to 120,213 and 259,699

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Solution

The third proportional to 120,213 and 259,699 is: 561,033.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,213 : 259,699 = 259,699 : x
  2. Step 2: Convert to fraction form
    120,213/259,699 = 259,699/x
  3. Step 3: Cross multiply
    120,213x = 259,699 × 259,699
  4. Step 4: Simplify right side
    120,213x = 67,443,570,601
  5. Step 5: Solve for x
    x = 67,443,570,601/120,213
  6. Step 6: Final answer
    x = 561,033.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.