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Finding the Third Proportional to 409,812.75 and 641,503.13

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Solution

The third proportional to 409,812.75 and 641,503.13 is: 1,004,181.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,812.75 : 641,503.13 = 641,503.13 : x
  2. Step 2: Convert to fraction form
    409,812.75/641,503.13 = 641,503.13/x
  3. Step 3: Cross multiply
    409,812.75x = 641,503.13 × 641,503.13
  4. Step 4: Simplify right side
    409,812.75x = 411,526,259,384.77
  5. Step 5: Solve for x
    x = 411,526,259,384.77/409,812.75
  6. Step 6: Final answer
    x = 1,004,181.20

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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.