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Finding the Third Proportional to 401,612 and 873,202

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Solution

The third proportional to 401,612 and 873,202 is: 1,898,553.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,612 : 873,202 = 873,202 : x
  2. Step 2: Convert to fraction form
    401,612/873,202 = 873,202/x
  3. Step 3: Cross multiply
    401,612x = 873,202 × 873,202
  4. Step 4: Simplify right side
    401,612x = 762,481,732,804
  5. Step 5: Solve for x
    x = 762,481,732,804/401,612
  6. Step 6: Final answer
    x = 1,898,553.16

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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.