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Finding the Third Proportional to 390,676 and 829,308

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Solution

The third proportional to 390,676 and 829,308 is: 1,760,414.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,676 : 829,308 = 829,308 : x
  2. Step 2: Convert to fraction form
    390,676/829,308 = 829,308/x
  3. Step 3: Cross multiply
    390,676x = 829,308 × 829,308
  4. Step 4: Simplify right side
    390,676x = 687,751,758,864
  5. Step 5: Solve for x
    x = 687,751,758,864/390,676
  6. Step 6: Final answer
    x = 1,760,414.66

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.