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Finding the Third Proportional to 120,388 and 259,276

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Solution

The third proportional to 120,388 and 259,276 is: 558,394.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,388 : 259,276 = 259,276 : x
  2. Step 2: Convert to fraction form
    120,388/259,276 = 259,276/x
  3. Step 3: Cross multiply
    120,388x = 259,276 × 259,276
  4. Step 4: Simplify right side
    120,388x = 67,224,044,176
  5. Step 5: Solve for x
    x = 67,224,044,176/120,388
  6. Step 6: Final answer
    x = 558,394.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.