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Finding the Third Proportional to 128,712 and 196,896

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Solution

The third proportional to 128,712 and 196,896 is: 301,199.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,712 : 196,896 = 196,896 : x
  2. Step 2: Convert to fraction form
    128,712/196,896 = 196,896/x
  3. Step 3: Cross multiply
    128,712x = 196,896 × 196,896
  4. Step 4: Simplify right side
    128,712x = 38,768,034,816
  5. Step 5: Solve for x
    x = 38,768,034,816/128,712
  6. Step 6: Final answer
    x = 301,199.85

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.