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Finding the Third Proportional to 50,979 and 77,764.50

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Solution

The third proportional to 50,979 and 77,764.50 is: 118,623.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,979 : 77,764.50 = 77,764.50 : x
  2. Step 2: Convert to fraction form
    50,979/77,764.50 = 77,764.50/x
  3. Step 3: Cross multiply
    50,979x = 77,764.50 × 77,764.50
  4. Step 4: Simplify right side
    50,979x = 6,047,317,460.25
  5. Step 5: Solve for x
    x = 6,047,317,460.25/50,979
  6. Step 6: Final answer
    x = 118,623.70

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.