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Finding the Third Proportional to 9,746 and 14,865

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Solution

The third proportional to 9,746 and 14,865 is: 22,672.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,746 : 14,865 = 14,865 : x
  2. Step 2: Convert to fraction form
    9,746/14,865 = 14,865/x
  3. Step 3: Cross multiply
    9,746x = 14,865 × 14,865
  4. Step 4: Simplify right side
    9,746x = 220,968,225
  5. Step 5: Solve for x
    x = 220,968,225/9,746
  6. Step 6: Final answer
    x = 22,672.71

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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.