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Finding the Third Proportional to 389,404.13 and 845,238.38

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Solution

The third proportional to 389,404.13 and 845,238.38 is: 1,834,669.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,404.13 : 845,238.38 = 845,238.38 : x
  2. Step 2: Convert to fraction form
    389,404.13/845,238.38 = 845,238.38/x
  3. Step 3: Cross multiply
    389,404.13x = 845,238.38 × 845,238.38
  4. Step 4: Simplify right side
    389,404.13x = 714,427,910,572.64
  5. Step 5: Solve for x
    x = 714,427,910,572.64/389,404.13
  6. Step 6: Final answer
    x = 1,834,669.60

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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.