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Finding the Third Proportional to 324,172.13 and 520,857.84

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Solution

The third proportional to 324,172.13 and 520,857.84 is: 836,879.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,172.13 : 520,857.84 = 520,857.84 : x
  2. Step 2: Convert to fraction form
    324,172.13/520,857.84 = 520,857.84/x
  3. Step 3: Cross multiply
    324,172.13x = 520,857.84 × 520,857.84
  4. Step 4: Simplify right side
    324,172.13x = 271,292,893,395.90
  5. Step 5: Solve for x
    x = 271,292,893,395.90/324,172.13
  6. Step 6: Final answer
    x = 836,879.15

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.