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Finding the Third Proportional to 72,489.94 and 109,532.25

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Solution

The third proportional to 72,489.94 and 109,532.25 is: 165,503.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,489.94 : 109,532.25 = 109,532.25 : x
  2. Step 2: Convert to fraction form
    72,489.94/109,532.25 = 109,532.25/x
  3. Step 3: Cross multiply
    72,489.94x = 109,532.25 × 109,532.25
  4. Step 4: Simplify right side
    72,489.94x = 11,997,313,790.06
  5. Step 5: Solve for x
    x = 11,997,313,790.06/72,489.94
  6. Step 6: Final answer
    x = 165,503.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.