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Finding the Third Proportional to 84,885 and 128,148

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Solution

The third proportional to 84,885 and 128,148 is: 193,460.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,885 : 128,148 = 128,148 : x
  2. Step 2: Convert to fraction form
    84,885/128,148 = 128,148/x
  3. Step 3: Cross multiply
    84,885x = 128,148 × 128,148
  4. Step 4: Simplify right side
    84,885x = 16,421,909,904
  5. Step 5: Solve for x
    x = 16,421,909,904/84,885
  6. Step 6: Final answer
    x = 193,460.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.