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Finding the Third Proportional to 321,370.50 and 613,581

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Solution

The third proportional to 321,370.50 and 613,581 is: 1,171,487.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,370.50 : 613,581 = 613,581 : x
  2. Step 2: Convert to fraction form
    321,370.50/613,581 = 613,581/x
  3. Step 3: Cross multiply
    321,370.50x = 613,581 × 613,581
  4. Step 4: Simplify right side
    321,370.50x = 376,481,643,561
  5. Step 5: Solve for x
    x = 376,481,643,561/321,370.50
  6. Step 6: Final answer
    x = 1,171,487.87

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.