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Finding the Third Proportional to 18,370 and 39,853

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Solution

The third proportional to 18,370 and 39,853 is: 86,459.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,370 : 39,853 = 39,853 : x
  2. Step 2: Convert to fraction form
    18,370/39,853 = 39,853/x
  3. Step 3: Cross multiply
    18,370x = 39,853 × 39,853
  4. Step 4: Simplify right side
    18,370x = 1,588,261,609
  5. Step 5: Solve for x
    x = 1,588,261,609/18,370
  6. Step 6: Final answer
    x = 86,459.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.