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Finding the Third Proportional to 18,300 and 38,508

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Solution

The third proportional to 18,300 and 38,508 is: 81,030.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,300 : 38,508 = 38,508 : x
  2. Step 2: Convert to fraction form
    18,300/38,508 = 38,508/x
  3. Step 3: Cross multiply
    18,300x = 38,508 × 38,508
  4. Step 4: Simplify right side
    18,300x = 1,482,866,064
  5. Step 5: Solve for x
    x = 1,482,866,064/18,300
  6. Step 6: Final answer
    x = 81,030.93

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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.