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Finding the Third Proportional to 51,433 and 77,696

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Solution

The third proportional to 51,433 and 77,696 is: 117,369.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,433 : 77,696 = 77,696 : x
  2. Step 2: Convert to fraction form
    51,433/77,696 = 77,696/x
  3. Step 3: Cross multiply
    51,433x = 77,696 × 77,696
  4. Step 4: Simplify right side
    51,433x = 6,036,668,416
  5. Step 5: Solve for x
    x = 6,036,668,416/51,433
  6. Step 6: Final answer
    x = 117,369.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.