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Finding the Third Proportional to 9,746 and 13,235

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Solution

The third proportional to 9,746 and 13,235 is: 17,973.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,746 : 13,235 = 13,235 : x
  2. Step 2: Convert to fraction form
    9,746/13,235 = 13,235/x
  3. Step 3: Cross multiply
    9,746x = 13,235 × 13,235
  4. Step 4: Simplify right side
    9,746x = 175,165,225
  5. Step 5: Solve for x
    x = 175,165,225/9,746
  6. Step 6: Final answer
    x = 17,973.04

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.