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Finding the Third Proportional to 25,438 and 39,564

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Solution

The third proportional to 25,438 and 39,564 is: 61,534.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,438 : 39,564 = 39,564 : x
  2. Step 2: Convert to fraction form
    25,438/39,564 = 39,564/x
  3. Step 3: Cross multiply
    25,438x = 39,564 × 39,564
  4. Step 4: Simplify right side
    25,438x = 1,565,310,096
  5. Step 5: Solve for x
    x = 1,565,310,096/25,438
  6. Step 6: Final answer
    x = 61,534.32

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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.