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Finding the Third Proportional to 10,145 and 15,281

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Solution

The third proportional to 10,145 and 15,281 is: 23,017.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,145 : 15,281 = 15,281 : x
  2. Step 2: Convert to fraction form
    10,145/15,281 = 15,281/x
  3. Step 3: Cross multiply
    10,145x = 15,281 × 15,281
  4. Step 4: Simplify right side
    10,145x = 233,508,961
  5. Step 5: Solve for x
    x = 233,508,961/10,145
  6. Step 6: Final answer
    x = 23,017.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.