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Finding the Third Proportional to 407,121 and 860,172

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Solution

The third proportional to 407,121 and 860,172 is: 1,817,385.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,121 : 860,172 = 860,172 : x
  2. Step 2: Convert to fraction form
    407,121/860,172 = 860,172/x
  3. Step 3: Cross multiply
    407,121x = 860,172 × 860,172
  4. Step 4: Simplify right side
    407,121x = 739,895,869,584
  5. Step 5: Solve for x
    x = 739,895,869,584/407,121
  6. Step 6: Final answer
    x = 1,817,385.67

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.