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Finding the Third Proportional to 321,410 and 475,554

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Solution

The third proportional to 321,410 and 475,554 is: 703,623.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,410 : 475,554 = 475,554 : x
  2. Step 2: Convert to fraction form
    321,410/475,554 = 475,554/x
  3. Step 3: Cross multiply
    321,410x = 475,554 × 475,554
  4. Step 4: Simplify right side
    321,410x = 226,151,606,916
  5. Step 5: Solve for x
    x = 226,151,606,916/321,410
  6. Step 6: Final answer
    x = 703,623.43

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.