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Finding the Third Proportional to 81,604 and 178,184

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Solution

The third proportional to 81,604 and 178,184 is: 389,068.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,604 : 178,184 = 178,184 : x
  2. Step 2: Convert to fraction form
    81,604/178,184 = 178,184/x
  3. Step 3: Cross multiply
    81,604x = 178,184 × 178,184
  4. Step 4: Simplify right side
    81,604x = 31,749,537,856
  5. Step 5: Solve for x
    x = 31,749,537,856/81,604
  6. Step 6: Final answer
    x = 389,068.40

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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.