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Finding the Third Proportional to 121,483 and 259,574

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Solution

The third proportional to 121,483 and 259,574 is: 554,634.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,483 : 259,574 = 259,574 : x
  2. Step 2: Convert to fraction form
    121,483/259,574 = 259,574/x
  3. Step 3: Cross multiply
    121,483x = 259,574 × 259,574
  4. Step 4: Simplify right side
    121,483x = 67,378,661,476
  5. Step 5: Solve for x
    x = 67,378,661,476/121,483
  6. Step 6: Final answer
    x = 554,634.49

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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.