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Finding the Third Proportional to 19,075 and 39,472

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Solution

The third proportional to 19,075 and 39,472 is: 81,679.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,075 : 39,472 = 39,472 : x
  2. Step 2: Convert to fraction form
    19,075/39,472 = 39,472/x
  3. Step 3: Cross multiply
    19,075x = 39,472 × 39,472
  4. Step 4: Simplify right side
    19,075x = 1,558,038,784
  5. Step 5: Solve for x
    x = 1,558,038,784/19,075
  6. Step 6: Final answer
    x = 81,679.62

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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.