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Finding the Third Proportional to 389,402.50 and 845,235

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Solution

The third proportional to 389,402.50 and 845,235 is: 1,834,662.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,402.50 : 845,235 = 845,235 : x
  2. Step 2: Convert to fraction form
    389,402.50/845,235 = 845,235/x
  3. Step 3: Cross multiply
    389,402.50x = 845,235 × 845,235
  4. Step 4: Simplify right side
    389,402.50x = 714,422,205,225
  5. Step 5: Solve for x
    x = 714,422,205,225/389,402.50
  6. Step 6: Final answer
    x = 1,834,662.61

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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.