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Finding the Third Proportional to 39,642 and 61,579

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Solution

The third proportional to 39,642 and 61,579 is: 95,655.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,642 : 61,579 = 61,579 : x
  2. Step 2: Convert to fraction form
    39,642/61,579 = 61,579/x
  3. Step 3: Cross multiply
    39,642x = 61,579 × 61,579
  4. Step 4: Simplify right side
    39,642x = 3,791,973,241
  5. Step 5: Solve for x
    x = 3,791,973,241/39,642
  6. Step 6: Final answer
    x = 95,655.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.