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Finding the Third Proportional to 111,901.50 and 277,809.75

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Solution

The third proportional to 111,901.50 and 277,809.75 is: 689,698.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,901.50 : 277,809.75 = 277,809.75 : x
  2. Step 2: Convert to fraction form
    111,901.50/277,809.75 = 277,809.75/x
  3. Step 3: Cross multiply
    111,901.50x = 277,809.75 × 277,809.75
  4. Step 4: Simplify right side
    111,901.50x = 77,178,257,195.06
  5. Step 5: Solve for x
    x = 77,178,257,195.06/111,901.50
  6. Step 6: Final answer
    x = 689,698.15

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Why These Related Problems?

These problems maintain the same ratio (2.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.