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Finding the Third Proportional to 409,599 and 641,128

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Solution

The third proportional to 409,599 and 641,128 is: 1,003,530.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,599 : 641,128 = 641,128 : x
  2. Step 2: Convert to fraction form
    409,599/641,128 = 641,128/x
  3. Step 3: Cross multiply
    409,599x = 641,128 × 641,128
  4. Step 4: Simplify right side
    409,599x = 411,045,112,384
  5. Step 5: Solve for x
    x = 411,045,112,384/409,599
  6. Step 6: Final answer
    x = 1,003,530.56

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.