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Finding the Third Proportional to 379,307.81 and 563,195.21

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Solution

The third proportional to 379,307.81 and 563,195.21 is: 836,230.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,307.81 : 563,195.21 = 563,195.21 : x
  2. Step 2: Convert to fraction form
    379,307.81/563,195.21 = 563,195.21/x
  3. Step 3: Cross multiply
    379,307.81x = 563,195.21 × 563,195.21
  4. Step 4: Simplify right side
    379,307.81x = 317,188,850,022.90
  5. Step 5: Solve for x
    x = 317,188,850,022.90/379,307.81
  6. Step 6: Final answer
    x = 836,230.73

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.