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Finding the Third Proportional to 328,029.75 and 490,336.88

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Solution

The third proportional to 328,029.75 and 490,336.88 is: 732,952.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,029.75 : 490,336.88 = 490,336.88 : x
  2. Step 2: Convert to fraction form
    328,029.75/490,336.88 = 490,336.88/x
  3. Step 3: Cross multiply
    328,029.75x = 490,336.88 × 490,336.88
  4. Step 4: Simplify right side
    328,029.75x = 240,430,250,984.77
  5. Step 5: Solve for x
    x = 240,430,250,984.77/328,029.75
  6. Step 6: Final answer
    x = 732,952.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.