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Finding the Third Proportional to 51,943 and 77,915

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Solution

The third proportional to 51,943 and 77,915 is: 116,873.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,943 : 77,915 = 77,915 : x
  2. Step 2: Convert to fraction form
    51,943/77,915 = 77,915/x
  3. Step 3: Cross multiply
    51,943x = 77,915 × 77,915
  4. Step 4: Simplify right side
    51,943x = 6,070,747,225
  5. Step 5: Solve for x
    x = 6,070,747,225/51,943
  6. Step 6: Final answer
    x = 116,873.25

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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.