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Finding the Third Proportional to 40,316 and 87,120

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Solution

The third proportional to 40,316 and 87,120 is: 188,260.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,316 : 87,120 = 87,120 : x
  2. Step 2: Convert to fraction form
    40,316/87,120 = 87,120/x
  3. Step 3: Cross multiply
    40,316x = 87,120 × 87,120
  4. Step 4: Simplify right side
    40,316x = 7,589,894,400
  5. Step 5: Solve for x
    x = 7,589,894,400/40,316
  6. Step 6: Final answer
    x = 188,260.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.