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Finding the Third Proportional to 121,464 and 178,212

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Solution

The third proportional to 121,464 and 178,212 is: 261,472.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,464 : 178,212 = 178,212 : x
  2. Step 2: Convert to fraction form
    121,464/178,212 = 178,212/x
  3. Step 3: Cross multiply
    121,464x = 178,212 × 178,212
  4. Step 4: Simplify right side
    121,464x = 31,759,516,944
  5. Step 5: Solve for x
    x = 31,759,516,944/121,464
  6. Step 6: Final answer
    x = 261,472.67

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.