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Finding the Third Proportional to 85,372 and 125,290

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Solution

The third proportional to 85,372 and 125,290 is: 183,872.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,372 : 125,290 = 125,290 : x
  2. Step 2: Convert to fraction form
    85,372/125,290 = 125,290/x
  3. Step 3: Cross multiply
    85,372x = 125,290 × 125,290
  4. Step 4: Simplify right side
    85,372x = 15,697,584,100
  5. Step 5: Solve for x
    x = 15,697,584,100/85,372
  6. Step 6: Final answer
    x = 183,872.75

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.