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Finding the Third Proportional to 300,484.69 and 430,439.06

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Solution

The third proportional to 300,484.69 and 430,439.06 is: 616,596.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,484.69 : 430,439.06 = 430,439.06 : x
  2. Step 2: Convert to fraction form
    300,484.69/430,439.06 = 430,439.06/x
  3. Step 3: Cross multiply
    300,484.69x = 430,439.06 × 430,439.06
  4. Step 4: Simplify right side
    300,484.69x = 185,277,786,525.88
  5. Step 5: Solve for x
    x = 185,277,786,525.88/300,484.69
  6. Step 6: Final answer
    x = 616,596.43

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.