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Finding the Third Proportional to 409,561.31 and 641,094.75

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Solution

The third proportional to 409,561.31 and 641,094.75 is: 1,003,518.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,561.31 : 641,094.75 = 641,094.75 : x
  2. Step 2: Convert to fraction form
    409,561.31/641,094.75 = 641,094.75/x
  3. Step 3: Cross multiply
    409,561.31x = 641,094.75 × 641,094.75
  4. Step 4: Simplify right side
    409,561.31x = 411,002,478,477.56
  5. Step 5: Solve for x
    x = 411,002,478,477.56/409,561.31
  6. Step 6: Final answer
    x = 1,003,518.80

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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.