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Finding the Third Proportional to 40,178 and 87,046

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Solution

The third proportional to 40,178 and 87,046 is: 188,585.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,178 : 87,046 = 87,046 : x
  2. Step 2: Convert to fraction form
    40,178/87,046 = 87,046/x
  3. Step 3: Cross multiply
    40,178x = 87,046 × 87,046
  4. Step 4: Simplify right side
    40,178x = 7,577,006,116
  5. Step 5: Solve for x
    x = 7,577,006,116/40,178
  6. Step 6: Final answer
    x = 188,585.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.