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Finding the Third Proportional to 324,917.50 and 502,128

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Solution

The third proportional to 324,917.50 and 502,128 is: 775,989.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,917.50 : 502,128 = 502,128 : x
  2. Step 2: Convert to fraction form
    324,917.50/502,128 = 502,128/x
  3. Step 3: Cross multiply
    324,917.50x = 502,128 × 502,128
  4. Step 4: Simplify right side
    324,917.50x = 252,132,528,384
  5. Step 5: Solve for x
    x = 252,132,528,384/324,917.50
  6. Step 6: Final answer
    x = 775,989.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.