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Finding the Third Proportional to 40,140 and 85,815

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Solution

The third proportional to 40,140 and 85,815 is: 183,463.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,140 : 85,815 = 85,815 : x
  2. Step 2: Convert to fraction form
    40,140/85,815 = 85,815/x
  3. Step 3: Cross multiply
    40,140x = 85,815 × 85,815
  4. Step 4: Simplify right side
    40,140x = 7,364,214,225
  5. Step 5: Solve for x
    x = 7,364,214,225/40,140
  6. Step 6: Final answer
    x = 183,463.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.