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Finding the Third Proportional to 85,200 and 134,820

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Solution

The third proportional to 85,200 and 134,820 is: 213,338.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,200 : 134,820 = 134,820 : x
  2. Step 2: Convert to fraction form
    85,200/134,820 = 134,820/x
  3. Step 3: Cross multiply
    85,200x = 134,820 × 134,820
  4. Step 4: Simplify right side
    85,200x = 18,176,432,400
  5. Step 5: Solve for x
    x = 18,176,432,400/85,200
  6. Step 6: Final answer
    x = 213,338.41

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.