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Finding the Third Proportional to 39,462 and 53,169

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Solution

The third proportional to 39,462 and 53,169 is: 71,637.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,462 : 53,169 = 53,169 : x
  2. Step 2: Convert to fraction form
    39,462/53,169 = 53,169/x
  3. Step 3: Cross multiply
    39,462x = 53,169 × 53,169
  4. Step 4: Simplify right side
    39,462x = 2,826,942,561
  5. Step 5: Solve for x
    x = 2,826,942,561/39,462
  6. Step 6: Final answer
    x = 71,637.08

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.