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Finding the Third Proportional to 379,216.69 and 812,405.95

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Solution

The third proportional to 379,216.69 and 812,405.95 is: 1,740,438.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,216.69 : 812,405.95 = 812,405.95 : x
  2. Step 2: Convert to fraction form
    379,216.69/812,405.95 = 812,405.95/x
  3. Step 3: Cross multiply
    379,216.69x = 812,405.95 × 812,405.95
  4. Step 4: Simplify right side
    379,216.69x = 660,003,432,672.94
  5. Step 5: Solve for x
    x = 660,003,432,672.94/379,216.69
  6. Step 6: Final answer
    x = 1,740,438.79

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.