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Finding the Third Proportional to 381,975.75 and 573,009.19

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Solution

The third proportional to 381,975.75 and 573,009.19 is: 859,582.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,975.75 : 573,009.19 = 573,009.19 : x
  2. Step 2: Convert to fraction form
    381,975.75/573,009.19 = 573,009.19/x
  3. Step 3: Cross multiply
    381,975.75x = 573,009.19 × 573,009.19
  4. Step 4: Simplify right side
    381,975.75x = 328,339,528,959.41
  5. Step 5: Solve for x
    x = 328,339,528,959.41/381,975.75
  6. Step 6: Final answer
    x = 859,582.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.