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Finding the Third Proportional to 121,424 and 248,860

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Solution

The third proportional to 121,424 and 248,860 is: 510,041.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,424 : 248,860 = 248,860 : x
  2. Step 2: Convert to fraction form
    121,424/248,860 = 248,860/x
  3. Step 3: Cross multiply
    121,424x = 248,860 × 248,860
  4. Step 4: Simplify right side
    121,424x = 61,931,299,600
  5. Step 5: Solve for x
    x = 61,931,299,600/121,424
  6. Step 6: Final answer
    x = 510,041.67

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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.