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Finding the Third Proportional to 401,068 and 856,258

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Solution

The third proportional to 401,068 and 856,258 is: 1,828,063.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,068 : 856,258 = 856,258 : x
  2. Step 2: Convert to fraction form
    401,068/856,258 = 856,258/x
  3. Step 3: Cross multiply
    401,068x = 856,258 × 856,258
  4. Step 4: Simplify right side
    401,068x = 733,177,762,564
  5. Step 5: Solve for x
    x = 733,177,762,564/401,068
  6. Step 6: Final answer
    x = 1,828,063.48

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.