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Finding the Third Proportional to 128,806 and 197,050

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Solution

The third proportional to 128,806 and 197,050 is: 301,451.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,806 : 197,050 = 197,050 : x
  2. Step 2: Convert to fraction form
    128,806/197,050 = 197,050/x
  3. Step 3: Cross multiply
    128,806x = 197,050 × 197,050
  4. Step 4: Simplify right side
    128,806x = 38,828,702,500
  5. Step 5: Solve for x
    x = 38,828,702,500/128,806
  6. Step 6: Final answer
    x = 301,451.04

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.