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Finding the Third Proportional to 15,840 and 25,080

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Solution

The third proportional to 15,840 and 25,080 is: 39,710

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,840 : 25,080 = 25,080 : x
  2. Step 2: Convert to fraction form
    15,840/25,080 = 25,080/x
  3. Step 3: Cross multiply
    15,840x = 25,080 × 25,080
  4. Step 4: Simplify right side
    15,840x = 629,006,400
  5. Step 5: Solve for x
    x = 629,006,400/15,840
  6. Step 6: Final answer
    x = 39,710

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.