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Finding the Third Proportional to 328,601.81 and 479,975.63

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Solution

The third proportional to 328,601.81 and 479,975.63 is: 701,081.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,601.81 : 479,975.63 = 479,975.63 : x
  2. Step 2: Convert to fraction form
    328,601.81/479,975.63 = 479,975.63/x
  3. Step 3: Cross multiply
    328,601.81x = 479,975.63 × 479,975.63
  4. Step 4: Simplify right side
    328,601.81x = 230,376,600,594.14
  5. Step 5: Solve for x
    x = 230,376,600,594.14/328,601.81
  6. Step 6: Final answer
    x = 701,081.34

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.