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Finding the Third Proportional to 18,570 and 39,084

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Solution

The third proportional to 18,570 and 39,084 is: 82,259.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,570 : 39,084 = 39,084 : x
  2. Step 2: Convert to fraction form
    18,570/39,084 = 39,084/x
  3. Step 3: Cross multiply
    18,570x = 39,084 × 39,084
  4. Step 4: Simplify right side
    18,570x = 1,527,559,056
  5. Step 5: Solve for x
    x = 1,527,559,056/18,570
  6. Step 6: Final answer
    x = 82,259.51

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.