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Finding the Third Proportional to 281,134 and 411,156

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Solution

The third proportional to 281,134 and 411,156 is: 601,312.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,134 : 411,156 = 411,156 : x
  2. Step 2: Convert to fraction form
    281,134/411,156 = 411,156/x
  3. Step 3: Cross multiply
    281,134x = 411,156 × 411,156
  4. Step 4: Simplify right side
    281,134x = 169,049,256,336
  5. Step 5: Solve for x
    x = 169,049,256,336/281,134
  6. Step 6: Final answer
    x = 601,312.03

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.