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Finding the Third Proportional to 121,192 and 259,664

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Solution

The third proportional to 121,192 and 259,664 is: 556,351.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,192 : 259,664 = 259,664 : x
  2. Step 2: Convert to fraction form
    121,192/259,664 = 259,664/x
  3. Step 3: Cross multiply
    121,192x = 259,664 × 259,664
  4. Step 4: Simplify right side
    121,192x = 67,425,392,896
  5. Step 5: Solve for x
    x = 67,425,392,896/121,192
  6. Step 6: Final answer
    x = 556,351.85

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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.