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Finding the Third Proportional to 85,520 and 134,344

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Solution

The third proportional to 85,520 and 134,344 is: 211,041.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,520 : 134,344 = 134,344 : x
  2. Step 2: Convert to fraction form
    85,520/134,344 = 134,344/x
  3. Step 3: Cross multiply
    85,520x = 134,344 × 134,344
  4. Step 4: Simplify right side
    85,520x = 18,048,310,336
  5. Step 5: Solve for x
    x = 18,048,310,336/85,520
  6. Step 6: Final answer
    x = 211,041.98

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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.