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Finding the Third Proportional to 384,207.75 and 617,316.75

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Solution

The third proportional to 384,207.75 and 617,316.75 is: 991,859.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,207.75 : 617,316.75 = 617,316.75 : x
  2. Step 2: Convert to fraction form
    384,207.75/617,316.75 = 617,316.75/x
  3. Step 3: Cross multiply
    384,207.75x = 617,316.75 × 617,316.75
  4. Step 4: Simplify right side
    384,207.75x = 381,079,969,830.56
  5. Step 5: Solve for x
    x = 381,079,969,830.56/384,207.75
  6. Step 6: Final answer
    x = 991,859.14

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.