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Finding the Third Proportional to 51,986 and 78,447

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Solution

The third proportional to 51,986 and 78,447 is: 118,376.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,986 : 78,447 = 78,447 : x
  2. Step 2: Convert to fraction form
    51,986/78,447 = 78,447/x
  3. Step 3: Cross multiply
    51,986x = 78,447 × 78,447
  4. Step 4: Simplify right side
    51,986x = 6,153,931,809
  5. Step 5: Solve for x
    x = 6,153,931,809/51,986
  6. Step 6: Final answer
    x = 118,376.71

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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.