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Finding the Third Proportional to 25,400 and 39,660

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Solution

The third proportional to 25,400 and 39,660 is: 61,925.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,400 : 39,660 = 39,660 : x
  2. Step 2: Convert to fraction form
    25,400/39,660 = 39,660/x
  3. Step 3: Cross multiply
    25,400x = 39,660 × 39,660
  4. Step 4: Simplify right side
    25,400x = 1,572,915,600
  5. Step 5: Solve for x
    x = 1,572,915,600/25,400
  6. Step 6: Final answer
    x = 61,925.81

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.