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Finding the Third Proportional to 409,820.45 and 869,583.09

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Solution

The third proportional to 409,820.45 and 869,583.09 is: 1,845,136.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,820.45 : 869,583.09 = 869,583.09 : x
  2. Step 2: Convert to fraction form
    409,820.45/869,583.09 = 869,583.09/x
  3. Step 3: Cross multiply
    409,820.45x = 869,583.09 × 869,583.09
  4. Step 4: Simplify right side
    409,820.45x = 756,174,756,935.82
  5. Step 5: Solve for x
    x = 756,174,756,935.82/409,820.45
  6. Step 6: Final answer
    x = 1,845,136.71

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.