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Finding the Third Proportional to 51,242 and 65,475

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Solution

The third proportional to 51,242 and 65,475 is: 83,661.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,242 : 65,475 = 65,475 : x
  2. Step 2: Convert to fraction form
    51,242/65,475 = 65,475/x
  3. Step 3: Cross multiply
    51,242x = 65,475 × 65,475
  4. Step 4: Simplify right side
    51,242x = 4,286,975,625
  5. Step 5: Solve for x
    x = 4,286,975,625/51,242
  6. Step 6: Final answer
    x = 83,661.36

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.