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Finding the Third Proportional to 40,322 and 84,316

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Solution

The third proportional to 40,322 and 84,316 is: 176,310.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,322 : 84,316 = 84,316 : x
  2. Step 2: Convert to fraction form
    40,322/84,316 = 84,316/x
  3. Step 3: Cross multiply
    40,322x = 84,316 × 84,316
  4. Step 4: Simplify right side
    40,322x = 7,109,187,856
  5. Step 5: Solve for x
    x = 7,109,187,856/40,322
  6. Step 6: Final answer
    x = 176,310.40

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.