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Finding the Third Proportional to 19,507 and 38,039

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Solution

The third proportional to 19,507 and 38,039 is: 74,176.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,507 : 38,039 = 38,039 : x
  2. Step 2: Convert to fraction form
    19,507/38,039 = 38,039/x
  3. Step 3: Cross multiply
    19,507x = 38,039 × 38,039
  4. Step 4: Simplify right side
    19,507x = 1,446,965,521
  5. Step 5: Solve for x
    x = 1,446,965,521/19,507
  6. Step 6: Final answer
    x = 74,176.73

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.