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Finding the Third Proportional to 40,011 and 87,078

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Solution

The third proportional to 40,011 and 87,078 is: 189,512.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,011 : 87,078 = 87,078 : x
  2. Step 2: Convert to fraction form
    40,011/87,078 = 87,078/x
  3. Step 3: Cross multiply
    40,011x = 87,078 × 87,078
  4. Step 4: Simplify right side
    40,011x = 7,582,578,084
  5. Step 5: Solve for x
    x = 7,582,578,084/40,011
  6. Step 6: Final answer
    x = 189,512.34

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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.