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Finding the Third Proportional to 72,815 and 97,786.25

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Solution

The third proportional to 72,815 and 97,786.25 is: 131,321.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,815 : 97,786.25 = 97,786.25 : x
  2. Step 2: Convert to fraction form
    72,815/97,786.25 = 97,786.25/x
  3. Step 3: Cross multiply
    72,815x = 97,786.25 × 97,786.25
  4. Step 4: Simplify right side
    72,815x = 9,562,150,689.06
  5. Step 5: Solve for x
    x = 9,562,150,689.06/72,815
  6. Step 6: Final answer
    x = 131,321.17

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.