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Finding the Third Proportional to 40,057 and 85,291

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Solution

The third proportional to 40,057 and 85,291 is: 181,605.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,057 : 85,291 = 85,291 : x
  2. Step 2: Convert to fraction form
    40,057/85,291 = 85,291/x
  3. Step 3: Cross multiply
    40,057x = 85,291 × 85,291
  4. Step 4: Simplify right side
    40,057x = 7,274,554,681
  5. Step 5: Solve for x
    x = 7,274,554,681/40,057
  6. Step 6: Final answer
    x = 181,605.08

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.