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Finding the Third Proportional to 142,100 and 212,175

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Solution

The third proportional to 142,100 and 212,175 is: 316,806.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,100 : 212,175 = 212,175 : x
  2. Step 2: Convert to fraction form
    142,100/212,175 = 212,175/x
  3. Step 3: Cross multiply
    142,100x = 212,175 × 212,175
  4. Step 4: Simplify right side
    142,100x = 45,018,230,625
  5. Step 5: Solve for x
    x = 45,018,230,625/142,100
  6. Step 6: Final answer
    x = 316,806.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.