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Finding the Third Proportional to 77,983 and 111,519.75

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Solution

The third proportional to 77,983 and 111,519.75 is: 159,479.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,983 : 111,519.75 = 111,519.75 : x
  2. Step 2: Convert to fraction form
    77,983/111,519.75 = 111,519.75/x
  3. Step 3: Cross multiply
    77,983x = 111,519.75 × 111,519.75
  4. Step 4: Simplify right side
    77,983x = 12,436,654,640.06
  5. Step 5: Solve for x
    x = 12,436,654,640.06/77,983
  6. Step 6: Final answer
    x = 159,479.05

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.