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Finding the Third Proportional to 40,310 and 85,102

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Solution

The third proportional to 40,310 and 85,102 is: 179,666.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,310 : 85,102 = 85,102 : x
  2. Step 2: Convert to fraction form
    40,310/85,102 = 85,102/x
  3. Step 3: Cross multiply
    40,310x = 85,102 × 85,102
  4. Step 4: Simplify right side
    40,310x = 7,242,350,404
  5. Step 5: Solve for x
    x = 7,242,350,404/40,310
  6. Step 6: Final answer
    x = 179,666.35

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.