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Finding the Third Proportional to 401,064 and 856,263

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Solution

The third proportional to 401,064 and 856,263 is: 1,828,103.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,064 : 856,263 = 856,263 : x
  2. Step 2: Convert to fraction form
    401,064/856,263 = 856,263/x
  3. Step 3: Cross multiply
    401,064x = 856,263 × 856,263
  4. Step 4: Simplify right side
    401,064x = 733,186,325,169
  5. Step 5: Solve for x
    x = 733,186,325,169/401,064
  6. Step 6: Final answer
    x = 1,828,103.06

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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.