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Finding the Third Proportional to 121,803.75 and 259,598.25

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Solution

The third proportional to 121,803.75 and 259,598.25 is: 553,277.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,803.75 : 259,598.25 = 259,598.25 : x
  2. Step 2: Convert to fraction form
    121,803.75/259,598.25 = 259,598.25/x
  3. Step 3: Cross multiply
    121,803.75x = 259,598.25 × 259,598.25
  4. Step 4: Simplify right side
    121,803.75x = 67,391,251,403.06
  5. Step 5: Solve for x
    x = 67,391,251,403.06/121,803.75
  6. Step 6: Final answer
    x = 553,277.31

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.