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Finding the Third Proportional to 52,035.75 and 77,844.38

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Solution

The third proportional to 52,035.75 and 77,844.38 is: 116,453.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,035.75 : 77,844.38 = 77,844.38 : x
  2. Step 2: Convert to fraction form
    52,035.75/77,844.38 = 77,844.38/x
  3. Step 3: Cross multiply
    52,035.75x = 77,844.38 × 77,844.38
  4. Step 4: Simplify right side
    52,035.75x = 6,059,746,719.14
  5. Step 5: Solve for x
    x = 6,059,746,719.14/52,035.75
  6. Step 6: Final answer
    x = 116,453.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.