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Finding the Third Proportional to 39,513 and 70,266

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Solution

The third proportional to 39,513 and 70,266 is: 124,954.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,513 : 70,266 = 70,266 : x
  2. Step 2: Convert to fraction form
    39,513/70,266 = 70,266/x
  3. Step 3: Cross multiply
    39,513x = 70,266 × 70,266
  4. Step 4: Simplify right side
    39,513x = 4,937,310,756
  5. Step 5: Solve for x
    x = 4,937,310,756/39,513
  6. Step 6: Final answer
    x = 124,954.08

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.