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Finding the Third Proportional to 96,720.50 and 136,980.75

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Solution

The third proportional to 96,720.50 and 136,980.75 is: 193,999.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,720.50 : 136,980.75 = 136,980.75 : x
  2. Step 2: Convert to fraction form
    96,720.50/136,980.75 = 136,980.75/x
  3. Step 3: Cross multiply
    96,720.50x = 136,980.75 × 136,980.75
  4. Step 4: Simplify right side
    96,720.50x = 18,763,725,870.56
  5. Step 5: Solve for x
    x = 18,763,725,870.56/96,720.50
  6. Step 6: Final answer
    x = 193,999.47

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.