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Finding the Third Proportional to 51,747 and 75,915

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Solution

The third proportional to 51,747 and 75,915 is: 111,370.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,747 : 75,915 = 75,915 : x
  2. Step 2: Convert to fraction form
    51,747/75,915 = 75,915/x
  3. Step 3: Cross multiply
    51,747x = 75,915 × 75,915
  4. Step 4: Simplify right side
    51,747x = 5,763,087,225
  5. Step 5: Solve for x
    x = 5,763,087,225/51,747
  6. Step 6: Final answer
    x = 111,370.46

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.