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Finding the Third Proportional to 53,645 and 78,825

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Solution

The third proportional to 53,645 and 78,825 is: 115,824.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,645 : 78,825 = 78,825 : x
  2. Step 2: Convert to fraction form
    53,645/78,825 = 78,825/x
  3. Step 3: Cross multiply
    53,645x = 78,825 × 78,825
  4. Step 4: Simplify right side
    53,645x = 6,213,380,625
  5. Step 5: Solve for x
    x = 6,213,380,625/53,645
  6. Step 6: Final answer
    x = 115,824.04

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.