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Finding the Third Proportional to 129,900 and 194,850

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Solution

The third proportional to 129,900 and 194,850 is: 292,275

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,900 : 194,850 = 194,850 : x
  2. Step 2: Convert to fraction form
    129,900/194,850 = 194,850/x
  3. Step 3: Cross multiply
    129,900x = 194,850 × 194,850
  4. Step 4: Simplify right side
    129,900x = 37,966,522,500
  5. Step 5: Solve for x
    x = 37,966,522,500/129,900
  6. Step 6: Final answer
    x = 292,275

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.