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Finding the Third Proportional to 17,853 and 39,297

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Solution

The third proportional to 17,853 and 39,297 is: 86,498.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,853 : 39,297 = 39,297 : x
  2. Step 2: Convert to fraction form
    17,853/39,297 = 39,297/x
  3. Step 3: Cross multiply
    17,853x = 39,297 × 39,297
  4. Step 4: Simplify right side
    17,853x = 1,544,254,209
  5. Step 5: Solve for x
    x = 1,544,254,209/17,853
  6. Step 6: Final answer
    x = 86,498.30

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.