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Finding the Third Proportional to 39,618 and 57,638

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Solution

The third proportional to 39,618 and 57,638 is: 83,854.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,618 : 57,638 = 57,638 : x
  2. Step 2: Convert to fraction form
    39,618/57,638 = 57,638/x
  3. Step 3: Cross multiply
    39,618x = 57,638 × 57,638
  4. Step 4: Simplify right side
    39,618x = 3,322,139,044
  5. Step 5: Solve for x
    x = 3,322,139,044/39,618
  6. Step 6: Final answer
    x = 83,854.28

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.