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Finding the Third Proportional to 85,913 and 131,421

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Solution

The third proportional to 85,913 and 131,421 is: 201,034.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,913 : 131,421 = 131,421 : x
  2. Step 2: Convert to fraction form
    85,913/131,421 = 131,421/x
  3. Step 3: Cross multiply
    85,913x = 131,421 × 131,421
  4. Step 4: Simplify right side
    85,913x = 17,271,479,241
  5. Step 5: Solve for x
    x = 17,271,479,241/85,913
  6. Step 6: Final answer
    x = 201,034.53

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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.