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Finding the Third Proportional to 128,106 and 205,835

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Solution

The third proportional to 128,106 and 205,835 is: 330,726.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,106 : 205,835 = 205,835 : x
  2. Step 2: Convert to fraction form
    128,106/205,835 = 205,835/x
  3. Step 3: Cross multiply
    128,106x = 205,835 × 205,835
  4. Step 4: Simplify right side
    128,106x = 42,368,047,225
  5. Step 5: Solve for x
    x = 42,368,047,225/128,106
  6. Step 6: Final answer
    x = 330,726.49

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.