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Finding the Third Proportional to 312,070.50 and 479,769.75

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Solution

The third proportional to 312,070.50 and 479,769.75 is: 737,586.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,070.50 : 479,769.75 = 479,769.75 : x
  2. Step 2: Convert to fraction form
    312,070.50/479,769.75 = 479,769.75/x
  3. Step 3: Cross multiply
    312,070.50x = 479,769.75 × 479,769.75
  4. Step 4: Simplify right side
    312,070.50x = 230,179,013,015.06
  5. Step 5: Solve for x
    x = 230,179,013,015.06/312,070.50
  6. Step 6: Final answer
    x = 737,586.58

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.