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Finding the Third Proportional to 57,696 and 78,352

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Solution

The third proportional to 57,696 and 78,352 is: 106,403.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,696 : 78,352 = 78,352 : x
  2. Step 2: Convert to fraction form
    57,696/78,352 = 78,352/x
  3. Step 3: Cross multiply
    57,696x = 78,352 × 78,352
  4. Step 4: Simplify right side
    57,696x = 6,139,035,904
  5. Step 5: Solve for x
    x = 6,139,035,904/57,696
  6. Step 6: Final answer
    x = 106,403.15

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.