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Finding the Third Proportional to 121,680 and 178,316

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Solution

The third proportional to 121,680 and 178,316 is: 261,313.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,680 : 178,316 = 178,316 : x
  2. Step 2: Convert to fraction form
    121,680/178,316 = 178,316/x
  3. Step 3: Cross multiply
    121,680x = 178,316 × 178,316
  4. Step 4: Simplify right side
    121,680x = 31,796,595,856
  5. Step 5: Solve for x
    x = 31,796,595,856/121,680
  6. Step 6: Final answer
    x = 261,313.25

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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.