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Finding the Third Proportional to 324,710 and 509,502

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Solution

The third proportional to 324,710 and 509,502 is: 799,458.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,710 : 509,502 = 509,502 : x
  2. Step 2: Convert to fraction form
    324,710/509,502 = 509,502/x
  3. Step 3: Cross multiply
    324,710x = 509,502 × 509,502
  4. Step 4: Simplify right side
    324,710x = 259,592,288,004
  5. Step 5: Solve for x
    x = 259,592,288,004/324,710
  6. Step 6: Final answer
    x = 799,458.86

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.