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Finding the Third Proportional to 321,074 and 508,827

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Solution

The third proportional to 321,074 and 508,827 is: 806,371.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,074 : 508,827 = 508,827 : x
  2. Step 2: Convert to fraction form
    321,074/508,827 = 508,827/x
  3. Step 3: Cross multiply
    321,074x = 508,827 × 508,827
  4. Step 4: Simplify right side
    321,074x = 258,904,915,929
  5. Step 5: Solve for x
    x = 258,904,915,929/321,074
  6. Step 6: Final answer
    x = 806,371.48

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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.