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Finding the Third Proportional to 85,230 and 133,407

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Solution

The third proportional to 85,230 and 133,407 is: 208,816.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,230 : 133,407 = 133,407 : x
  2. Step 2: Convert to fraction form
    85,230/133,407 = 133,407/x
  3. Step 3: Cross multiply
    85,230x = 133,407 × 133,407
  4. Step 4: Simplify right side
    85,230x = 17,797,427,649
  5. Step 5: Solve for x
    x = 17,797,427,649/85,230
  6. Step 6: Final answer
    x = 208,816.47

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.