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Finding the Third Proportional to 19,069 and 39,460

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Solution

The third proportional to 19,069 and 39,460 is: 81,655.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,069 : 39,460 = 39,460 : x
  2. Step 2: Convert to fraction form
    19,069/39,460 = 39,460/x
  3. Step 3: Cross multiply
    19,069x = 39,460 × 39,460
  4. Step 4: Simplify right side
    19,069x = 1,557,091,600
  5. Step 5: Solve for x
    x = 1,557,091,600/19,069
  6. Step 6: Final answer
    x = 81,655.65

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.