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Finding the Third Proportional to 39,378 and 59,397

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Solution

The third proportional to 39,378 and 59,397 is: 89,593.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,378 : 59,397 = 59,397 : x
  2. Step 2: Convert to fraction form
    39,378/59,397 = 59,397/x
  3. Step 3: Cross multiply
    39,378x = 59,397 × 59,397
  4. Step 4: Simplify right side
    39,378x = 3,528,003,609
  5. Step 5: Solve for x
    x = 3,528,003,609/39,378
  6. Step 6: Final answer
    x = 89,593.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.