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Finding the Third Proportional to 322,900 and 503,970

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Solution

The third proportional to 322,900 and 503,970 is: 786,577.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,900 : 503,970 = 503,970 : x
  2. Step 2: Convert to fraction form
    322,900/503,970 = 503,970/x
  3. Step 3: Cross multiply
    322,900x = 503,970 × 503,970
  4. Step 4: Simplify right side
    322,900x = 253,985,760,900
  5. Step 5: Solve for x
    x = 253,985,760,900/322,900
  6. Step 6: Final answer
    x = 786,577.15

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.