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Finding the Third Proportional to 188,000 and 407,158

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Solution

The third proportional to 188,000 and 407,158 is: 881,795.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,000 : 407,158 = 407,158 : x
  2. Step 2: Convert to fraction form
    188,000/407,158 = 407,158/x
  3. Step 3: Cross multiply
    188,000x = 407,158 × 407,158
  4. Step 4: Simplify right side
    188,000x = 165,777,636,964
  5. Step 5: Solve for x
    x = 165,777,636,964/188,000
  6. Step 6: Final answer
    x = 881,795.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.