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Finding the Third Proportional to 71,784 and 156,676

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Solution

The third proportional to 71,784 and 156,676 is: 341,961.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,784 : 156,676 = 156,676 : x
  2. Step 2: Convert to fraction form
    71,784/156,676 = 156,676/x
  3. Step 3: Cross multiply
    71,784x = 156,676 × 156,676
  4. Step 4: Simplify right side
    71,784x = 24,547,368,976
  5. Step 5: Solve for x
    x = 24,547,368,976/71,784
  6. Step 6: Final answer
    x = 341,961.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.