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Finding the Third Proportional to 8,970 and 13,765

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Solution

The third proportional to 8,970 and 13,765 is: 21,123.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,970 : 13,765 = 13,765 : x
  2. Step 2: Convert to fraction form
    8,970/13,765 = 13,765/x
  3. Step 3: Cross multiply
    8,970x = 13,765 × 13,765
  4. Step 4: Simplify right side
    8,970x = 189,475,225
  5. Step 5: Solve for x
    x = 189,475,225/8,970
  6. Step 6: Final answer
    x = 21,123.21

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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.