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Finding the Third Proportional to 128,590 and 197,771

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Solution

The third proportional to 128,590 and 197,771 is: 304,171.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,590 : 197,771 = 197,771 : x
  2. Step 2: Convert to fraction form
    128,590/197,771 = 197,771/x
  3. Step 3: Cross multiply
    128,590x = 197,771 × 197,771
  4. Step 4: Simplify right side
    128,590x = 39,113,368,441
  5. Step 5: Solve for x
    x = 39,113,368,441/128,590
  6. Step 6: Final answer
    x = 304,171.15

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.