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Finding the Third Proportional to 53,600 and 78,794

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Solution

The third proportional to 53,600 and 78,794 is: 115,830.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,600 : 78,794 = 78,794 : x
  2. Step 2: Convert to fraction form
    53,600/78,794 = 78,794/x
  3. Step 3: Cross multiply
    53,600x = 78,794 × 78,794
  4. Step 4: Simplify right side
    53,600x = 6,208,494,436
  5. Step 5: Solve for x
    x = 6,208,494,436/53,600
  6. Step 6: Final answer
    x = 115,830.12

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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.