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Finding the Third Proportional to 9,840 and 15,240

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Solution

The third proportional to 9,840 and 15,240 is: 23,603.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,840 : 15,240 = 15,240 : x
  2. Step 2: Convert to fraction form
    9,840/15,240 = 15,240/x
  3. Step 3: Cross multiply
    9,840x = 15,240 × 15,240
  4. Step 4: Simplify right side
    9,840x = 232,257,600
  5. Step 5: Solve for x
    x = 232,257,600/9,840
  6. Step 6: Final answer
    x = 23,603.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.