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Finding the Third Proportional to 128,436 and 205,107

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Solution

The third proportional to 128,436 and 205,107 is: 327,547.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,436 : 205,107 = 205,107 : x
  2. Step 2: Convert to fraction form
    128,436/205,107 = 205,107/x
  3. Step 3: Cross multiply
    128,436x = 205,107 × 205,107
  4. Step 4: Simplify right side
    128,436x = 42,068,881,449
  5. Step 5: Solve for x
    x = 42,068,881,449/128,436
  6. Step 6: Final answer
    x = 327,547.43

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.