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Finding the Third Proportional to 85,532 and 134,352

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Solution

The third proportional to 85,532 and 134,352 is: 211,037.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,532 : 134,352 = 134,352 : x
  2. Step 2: Convert to fraction form
    85,532/134,352 = 134,352/x
  3. Step 3: Cross multiply
    85,532x = 134,352 × 134,352
  4. Step 4: Simplify right side
    85,532x = 18,050,459,904
  5. Step 5: Solve for x
    x = 18,050,459,904/85,532
  6. Step 6: Final answer
    x = 211,037.51

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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.