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Finding the Third Proportional to 128,590 and 199,089

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Solution

The third proportional to 128,590 and 199,089 is: 308,238.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,590 : 199,089 = 199,089 : x
  2. Step 2: Convert to fraction form
    128,590/199,089 = 199,089/x
  3. Step 3: Cross multiply
    128,590x = 199,089 × 199,089
  4. Step 4: Simplify right side
    128,590x = 39,636,429,921
  5. Step 5: Solve for x
    x = 39,636,429,921/128,590
  6. Step 6: Final answer
    x = 308,238.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.