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Finding the Third Proportional to 128,552 and 197,716

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Solution

The third proportional to 128,552 and 197,716 is: 304,091.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,552 : 197,716 = 197,716 : x
  2. Step 2: Convert to fraction form
    128,552/197,716 = 197,716/x
  3. Step 3: Cross multiply
    128,552x = 197,716 × 197,716
  4. Step 4: Simplify right side
    128,552x = 39,091,616,656
  5. Step 5: Solve for x
    x = 39,091,616,656/128,552
  6. Step 6: Final answer
    x = 304,091.86

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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.