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Finding the Third Proportional to 18,503 and 39,961

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Solution

The third proportional to 18,503 and 39,961 is: 86,303.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,503 : 39,961 = 39,961 : x
  2. Step 2: Convert to fraction form
    18,503/39,961 = 39,961/x
  3. Step 3: Cross multiply
    18,503x = 39,961 × 39,961
  4. Step 4: Simplify right side
    18,503x = 1,596,881,521
  5. Step 5: Solve for x
    x = 1,596,881,521/18,503
  6. Step 6: Final answer
    x = 86,303.92

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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.