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Finding the Third Proportional to 15,642 and 23,385

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Solution

The third proportional to 15,642 and 23,385 is: 34,960.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,642 : 23,385 = 23,385 : x
  2. Step 2: Convert to fraction form
    15,642/23,385 = 23,385/x
  3. Step 3: Cross multiply
    15,642x = 23,385 × 23,385
  4. Step 4: Simplify right side
    15,642x = 546,858,225
  5. Step 5: Solve for x
    x = 546,858,225/15,642
  6. Step 6: Final answer
    x = 34,960.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.