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Finding the Third Proportional to 389,407 and 845,245

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Solution

The third proportional to 389,407 and 845,245 is: 1,834,684.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,407 : 845,245 = 845,245 : x
  2. Step 2: Convert to fraction form
    389,407/845,245 = 845,245/x
  3. Step 3: Cross multiply
    389,407x = 845,245 × 845,245
  4. Step 4: Simplify right side
    389,407x = 714,439,110,025
  5. Step 5: Solve for x
    x = 714,439,110,025/389,407
  6. Step 6: Final answer
    x = 1,834,684.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.