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Finding the Third Proportional to 250,053.75 and 387,769.78

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Solution

The third proportional to 250,053.75 and 387,769.78 is: 601,332.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,053.75 : 387,769.78 = 387,769.78 : x
  2. Step 2: Convert to fraction form
    250,053.75/387,769.78 = 387,769.78/x
  3. Step 3: Cross multiply
    250,053.75x = 387,769.78 × 387,769.78
  4. Step 4: Simplify right side
    250,053.75x = 150,365,403,250.67
  5. Step 5: Solve for x
    x = 150,365,403,250.67/250,053.75
  6. Step 6: Final answer
    x = 601,332.33

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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.