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Finding the Third Proportional to 40,009.50 and 87,219

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Solution

The third proportional to 40,009.50 and 87,219 is: 190,133.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,009.50 : 87,219 = 87,219 : x
  2. Step 2: Convert to fraction form
    40,009.50/87,219 = 87,219/x
  3. Step 3: Cross multiply
    40,009.50x = 87,219 × 87,219
  4. Step 4: Simplify right side
    40,009.50x = 7,607,153,961
  5. Step 5: Solve for x
    x = 7,607,153,961/40,009.50
  6. Step 6: Final answer
    x = 190,133.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.