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Finding the Third Proportional to 40,036 and 92,673.50

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Solution

The third proportional to 40,036 and 92,673.50 is: 214,516.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,036 : 92,673.50 = 92,673.50 : x
  2. Step 2: Convert to fraction form
    40,036/92,673.50 = 92,673.50/x
  3. Step 3: Cross multiply
    40,036x = 92,673.50 × 92,673.50
  4. Step 4: Simplify right side
    40,036x = 8,588,377,602.25
  5. Step 5: Solve for x
    x = 8,588,377,602.25/40,036
  6. Step 6: Final answer
    x = 214,516.38

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.