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Finding the Third Proportional to 39,402 and 59,919

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Solution

The third proportional to 39,402 and 59,919 is: 91,119.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,402 : 59,919 = 59,919 : x
  2. Step 2: Convert to fraction form
    39,402/59,919 = 59,919/x
  3. Step 3: Cross multiply
    39,402x = 59,919 × 59,919
  4. Step 4: Simplify right side
    39,402x = 3,590,286,561
  5. Step 5: Solve for x
    x = 3,590,286,561/39,402
  6. Step 6: Final answer
    x = 91,119.40

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.