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Finding the Third Proportional to 303,134.06 and 421,479.28

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Solution

The third proportional to 303,134.06 and 421,479.28 is: 586,027.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,134.06 : 421,479.28 = 421,479.28 : x
  2. Step 2: Convert to fraction form
    303,134.06/421,479.28 = 421,479.28/x
  3. Step 3: Cross multiply
    303,134.06x = 421,479.28 × 421,479.28
  4. Step 4: Simplify right side
    303,134.06x = 177,644,784,523.02
  5. Step 5: Solve for x
    x = 177,644,784,523.02/303,134.06
  6. Step 6: Final answer
    x = 586,027.13

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.