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Finding the Third Proportional to 379,056 and 817,158

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Solution

The third proportional to 379,056 and 817,158 is: 1,761,605.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,056 : 817,158 = 817,158 : x
  2. Step 2: Convert to fraction form
    379,056/817,158 = 817,158/x
  3. Step 3: Cross multiply
    379,056x = 817,158 × 817,158
  4. Step 4: Simplify right side
    379,056x = 667,747,196,964
  5. Step 5: Solve for x
    x = 667,747,196,964/379,056
  6. Step 6: Final answer
    x = 1,761,605.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.