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Finding the Third Proportional to 19,080 and 39,459

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Solution

The third proportional to 19,080 and 39,459 is: 81,604.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,080 : 39,459 = 39,459 : x
  2. Step 2: Convert to fraction form
    19,080/39,459 = 39,459/x
  3. Step 3: Cross multiply
    19,080x = 39,459 × 39,459
  4. Step 4: Simplify right side
    19,080x = 1,557,012,681
  5. Step 5: Solve for x
    x = 1,557,012,681/19,080
  6. Step 6: Final answer
    x = 81,604.44

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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.