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Finding the Third Proportional to 83,904 and 128,043

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Solution

The third proportional to 83,904 and 128,043 is: 195,402.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,904 : 128,043 = 128,043 : x
  2. Step 2: Convert to fraction form
    83,904/128,043 = 128,043/x
  3. Step 3: Cross multiply
    83,904x = 128,043 × 128,043
  4. Step 4: Simplify right side
    83,904x = 16,395,009,849
  5. Step 5: Solve for x
    x = 16,395,009,849/83,904
  6. Step 6: Final answer
    x = 195,402.01

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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.