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Finding the Third Proportional to 383,004 and 515,214

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Solution

The third proportional to 383,004 and 515,214 is: 693,061.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,004 : 515,214 = 515,214 : x
  2. Step 2: Convert to fraction form
    383,004/515,214 = 515,214/x
  3. Step 3: Cross multiply
    383,004x = 515,214 × 515,214
  4. Step 4: Simplify right side
    383,004x = 265,445,465,796
  5. Step 5: Solve for x
    x = 265,445,465,796/383,004
  6. Step 6: Final answer
    x = 693,061.86

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.