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Finding the Third Proportional to 18,430 and 39,270

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Solution

The third proportional to 18,430 and 39,270 is: 83,675.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,430 : 39,270 = 39,270 : x
  2. Step 2: Convert to fraction form
    18,430/39,270 = 39,270/x
  3. Step 3: Cross multiply
    18,430x = 39,270 × 39,270
  4. Step 4: Simplify right side
    18,430x = 1,542,132,900
  5. Step 5: Solve for x
    x = 1,542,132,900/18,430
  6. Step 6: Final answer
    x = 83,675.14

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.