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Finding the Third Proportional to 128,528 and 197,796

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Solution

The third proportional to 128,528 and 197,796 is: 304,394.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,528 : 197,796 = 197,796 : x
  2. Step 2: Convert to fraction form
    128,528/197,796 = 197,796/x
  3. Step 3: Cross multiply
    128,528x = 197,796 × 197,796
  4. Step 4: Simplify right side
    128,528x = 39,123,257,616
  5. Step 5: Solve for x
    x = 39,123,257,616/128,528
  6. Step 6: Final answer
    x = 304,394.82

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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.