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Finding the Third Proportional to 128,488 and 197,742

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Solution

The third proportional to 128,488 and 197,742 is: 304,323.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,488 : 197,742 = 197,742 : x
  2. Step 2: Convert to fraction form
    128,488/197,742 = 197,742/x
  3. Step 3: Cross multiply
    128,488x = 197,742 × 197,742
  4. Step 4: Simplify right side
    128,488x = 39,101,898,564
  5. Step 5: Solve for x
    x = 39,101,898,564/128,488
  6. Step 6: Final answer
    x = 304,323.35

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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.