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Finding the Third Proportional to 121,153.50 and 248,350.50

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Solution

The third proportional to 121,153.50 and 248,350.50 is: 509,089.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,153.50 : 248,350.50 = 248,350.50 : x
  2. Step 2: Convert to fraction form
    121,153.50/248,350.50 = 248,350.50/x
  3. Step 3: Cross multiply
    121,153.50x = 248,350.50 × 248,350.50
  4. Step 4: Simplify right side
    121,153.50x = 61,677,970,850.25
  5. Step 5: Solve for x
    x = 61,677,970,850.25/121,153.50
  6. Step 6: Final answer
    x = 509,089.47

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.