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Finding the Third Proportional to 85,439 and 134,220

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Solution

The third proportional to 85,439 and 134,220 is: 210,852.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,439 : 134,220 = 134,220 : x
  2. Step 2: Convert to fraction form
    85,439/134,220 = 134,220/x
  3. Step 3: Cross multiply
    85,439x = 134,220 × 134,220
  4. Step 4: Simplify right side
    85,439x = 18,015,008,400
  5. Step 5: Solve for x
    x = 18,015,008,400/85,439
  6. Step 6: Final answer
    x = 210,852.29

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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.