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Finding the Third Proportional to 72,622.50 and 100,005.75

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Solution

The third proportional to 72,622.50 and 100,005.75 is: 137,714.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,622.50 : 100,005.75 = 100,005.75 : x
  2. Step 2: Convert to fraction form
    72,622.50/100,005.75 = 100,005.75/x
  3. Step 3: Cross multiply
    72,622.50x = 100,005.75 × 100,005.75
  4. Step 4: Simplify right side
    72,622.50x = 10,001,150,033.06
  5. Step 5: Solve for x
    x = 10,001,150,033.06/72,622.50
  6. Step 6: Final answer
    x = 137,714.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.