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Finding the Third Proportional to 281,962 and 415,154

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Solution

The third proportional to 281,962 and 415,154 is: 611,262.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,962 : 415,154 = 415,154 : x
  2. Step 2: Convert to fraction form
    281,962/415,154 = 415,154/x
  3. Step 3: Cross multiply
    281,962x = 415,154 × 415,154
  4. Step 4: Simplify right side
    281,962x = 172,352,843,716
  5. Step 5: Solve for x
    x = 172,352,843,716/281,962
  6. Step 6: Final answer
    x = 611,262.67

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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.