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Finding the Third Proportional to 40,043 and 87,133

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Solution

The third proportional to 40,043 and 87,133 is: 189,600.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,043 : 87,133 = 87,133 : x
  2. Step 2: Convert to fraction form
    40,043/87,133 = 87,133/x
  3. Step 3: Cross multiply
    40,043x = 87,133 × 87,133
  4. Step 4: Simplify right side
    40,043x = 7,592,159,689
  5. Step 5: Solve for x
    x = 7,592,159,689/40,043
  6. Step 6: Final answer
    x = 189,600.17

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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.