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Finding the Third Proportional to 397,308 and 845,829

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Solution

The third proportional to 397,308 and 845,829 is: 1,800,685.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,308 : 845,829 = 845,829 : x
  2. Step 2: Convert to fraction form
    397,308/845,829 = 845,829/x
  3. Step 3: Cross multiply
    397,308x = 845,829 × 845,829
  4. Step 4: Simplify right side
    397,308x = 715,426,697,241
  5. Step 5: Solve for x
    x = 715,426,697,241/397,308
  6. Step 6: Final answer
    x = 1,800,685.36

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.