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Finding the Third Proportional to 321,072 and 508,824

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Solution

The third proportional to 321,072 and 508,824 is: 806,366.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,072 : 508,824 = 508,824 : x
  2. Step 2: Convert to fraction form
    321,072/508,824 = 508,824/x
  3. Step 3: Cross multiply
    321,072x = 508,824 × 508,824
  4. Step 4: Simplify right side
    321,072x = 258,901,862,976
  5. Step 5: Solve for x
    x = 258,901,862,976/321,072
  6. Step 6: Final answer
    x = 806,366.99

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.