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Finding the Third Proportional to 10,170 and 13,230

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Solution

The third proportional to 10,170 and 13,230 is: 17,210.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,170 : 13,230 = 13,230 : x
  2. Step 2: Convert to fraction form
    10,170/13,230 = 13,230/x
  3. Step 3: Cross multiply
    10,170x = 13,230 × 13,230
  4. Step 4: Simplify right side
    10,170x = 175,032,900
  5. Step 5: Solve for x
    x = 175,032,900/10,170
  6. Step 6: Final answer
    x = 17,210.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.