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Finding the Third Proportional to 15,142 and 35,911

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Solution

The third proportional to 15,142 and 35,911 is: 85,167.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,142 : 35,911 = 35,911 : x
  2. Step 2: Convert to fraction form
    15,142/35,911 = 35,911/x
  3. Step 3: Cross multiply
    15,142x = 35,911 × 35,911
  4. Step 4: Simplify right side
    15,142x = 1,289,599,921
  5. Step 5: Solve for x
    x = 1,289,599,921/15,142
  6. Step 6: Final answer
    x = 85,167.08

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.