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Finding the Third Proportional to 121,230 and 259,308

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Solution

The third proportional to 121,230 and 259,308 is: 554,653.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,230 : 259,308 = 259,308 : x
  2. Step 2: Convert to fraction form
    121,230/259,308 = 259,308/x
  3. Step 3: Cross multiply
    121,230x = 259,308 × 259,308
  4. Step 4: Simplify right side
    121,230x = 67,240,638,864
  5. Step 5: Solve for x
    x = 67,240,638,864/121,230
  6. Step 6: Final answer
    x = 554,653.46

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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.