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Finding the Third Proportional to 121,207.50 and 248,427

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Solution

The third proportional to 121,207.50 and 248,427 is: 509,176.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,207.50 : 248,427 = 248,427 : x
  2. Step 2: Convert to fraction form
    121,207.50/248,427 = 248,427/x
  3. Step 3: Cross multiply
    121,207.50x = 248,427 × 248,427
  4. Step 4: Simplify right side
    121,207.50x = 61,715,974,329
  5. Step 5: Solve for x
    x = 61,715,974,329/121,207.50
  6. Step 6: Final answer
    x = 509,176.20

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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.