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Finding the Third Proportional to 15,729 and 24,140

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Solution

The third proportional to 15,729 and 24,140 is: 37,048.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,729 : 24,140 = 24,140 : x
  2. Step 2: Convert to fraction form
    15,729/24,140 = 24,140/x
  3. Step 3: Cross multiply
    15,729x = 24,140 × 24,140
  4. Step 4: Simplify right side
    15,729x = 582,739,600
  5. Step 5: Solve for x
    x = 582,739,600/15,729
  6. Step 6: Final answer
    x = 37,048.74

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.