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Finding the Third Proportional to 128,413 and 197,632

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Solution

The third proportional to 128,413 and 197,632 is: 304,162.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,413 : 197,632 = 197,632 : x
  2. Step 2: Convert to fraction form
    128,413/197,632 = 197,632/x
  3. Step 3: Cross multiply
    128,413x = 197,632 × 197,632
  4. Step 4: Simplify right side
    128,413x = 39,058,407,424
  5. Step 5: Solve for x
    x = 39,058,407,424/128,413
  6. Step 6: Final answer
    x = 304,162.41

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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.